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Finding the Fourth Proportional to 2,400.35, 3,601.52 and 940.53

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Solution

The fourth proportional to 2,400.35, 3,601.52 and 940.53 is: 1,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.35 : 3,601.52 = 940.53 : x
  2. Step 2: Convert to fraction form
    2,400.35/3,601.52 = 940.53/x
  3. Step 3: Cross multiply
    2,400.35x = 3,601.52 × 940.53
  4. Step 4: Simplify right side
    2,400.35x = 3,387,332.90
  5. Step 5: Solve for x
    x = 3,387,332.90/2,400.35
  6. Step 6: Final answer
    x = 1,411.19

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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.