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Finding the Fourth Proportional to 2,332.27, 3,499.49 and 1,454.55

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Solution

The fourth proportional to 2,332.27, 3,499.49 and 1,454.55 is: 2,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.27 : 3,499.49 = 1,454.55 : x
  2. Step 2: Convert to fraction form
    2,332.27/3,499.49 = 1,454.55/x
  3. Step 3: Cross multiply
    2,332.27x = 3,499.49 × 1,454.55
  4. Step 4: Simplify right side
    2,332.27x = 5,090,183.18
  5. Step 5: Solve for x
    x = 5,090,183.18/2,332.27
  6. Step 6: Final answer
    x = 2,182.50

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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.