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Finding the Fourth Proportional to 2,337.48, 3,505.68 and 876.24

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Solution

The fourth proportional to 2,337.48, 3,505.68 and 876.24 is: 1,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.48 : 3,505.68 = 876.24 : x
  2. Step 2: Convert to fraction form
    2,337.48/3,505.68 = 876.24/x
  3. Step 3: Cross multiply
    2,337.48x = 3,505.68 × 876.24
  4. Step 4: Simplify right side
    2,337.48x = 3,071,817.04
  5. Step 5: Solve for x
    x = 3,071,817.04/2,337.48
  6. Step 6: Final answer
    x = 1,314.16

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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.