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Finding the Fourth Proportional to 1,454.54, 2,007.24 and 865.04

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Solution

The fourth proportional to 1,454.54, 2,007.24 and 865.04 is: 1,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.54 : 2,007.24 = 865.04 : x
  2. Step 2: Convert to fraction form
    1,454.54/2,007.24 = 865.04/x
  3. Step 3: Cross multiply
    1,454.54x = 2,007.24 × 865.04
  4. Step 4: Simplify right side
    1,454.54x = 1,736,342.89
  5. Step 5: Solve for x
    x = 1,736,342.89/1,454.54
  6. Step 6: Final answer
    x = 1,193.74

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