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Finding the Fourth Proportional to 2,454.52, 3,387.72 and 1,407.28

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Solution

The fourth proportional to 2,454.52, 3,387.72 and 1,407.28 is: 1,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.52 : 3,387.72 = 1,407.28 : x
  2. Step 2: Convert to fraction form
    2,454.52/3,387.72 = 1,407.28/x
  3. Step 3: Cross multiply
    2,454.52x = 3,387.72 × 1,407.28
  4. Step 4: Simplify right side
    2,454.52x = 4,767,470.60
  5. Step 5: Solve for x
    x = 4,767,470.60/2,454.52
  6. Step 6: Final answer
    x = 1,942.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.