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Finding the Fourth Proportional to 2,824.26, 4,236.35 and 876.46

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Solution

The fourth proportional to 2,824.26, 4,236.35 and 876.46 is: 1,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.26 : 4,236.35 = 876.46 : x
  2. Step 2: Convert to fraction form
    2,824.26/4,236.35 = 876.46/x
  3. Step 3: Cross multiply
    2,824.26x = 4,236.35 × 876.46
  4. Step 4: Simplify right side
    2,824.26x = 3,712,991.32
  5. Step 5: Solve for x
    x = 3,712,991.32/2,824.26
  6. Step 6: Final answer
    x = 1,314.68

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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.