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Finding the Fourth Proportional to 2,824.76, 4,237.42 and 876.44

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Solution

The fourth proportional to 2,824.76, 4,237.42 and 876.44 is: 1,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.76 : 4,237.42 = 876.44 : x
  2. Step 2: Convert to fraction form
    2,824.76/4,237.42 = 876.44/x
  3. Step 3: Cross multiply
    2,824.76x = 4,237.42 × 876.44
  4. Step 4: Simplify right side
    2,824.76x = 3,713,844.38
  5. Step 5: Solve for x
    x = 3,713,844.38/2,824.76
  6. Step 6: Final answer
    x = 1,314.75

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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.