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Finding the Fourth Proportional to 2,824.47, 4,237.25 and 876.22

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Solution

The fourth proportional to 2,824.47, 4,237.25 and 876.22 is: 1,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.47 : 4,237.25 = 876.22 : x
  2. Step 2: Convert to fraction form
    2,824.47/4,237.25 = 876.22/x
  3. Step 3: Cross multiply
    2,824.47x = 4,237.25 × 876.22
  4. Step 4: Simplify right side
    2,824.47x = 3,712,748.22
  5. Step 5: Solve for x
    x = 3,712,748.22/2,824.47
  6. Step 6: Final answer
    x = 1,314.49

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Half scale
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Double scale
Find fourth proportional to 2,825.47, 4,238.75 and 877.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.