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Finding the Fourth Proportional to 1,344.47, 1,854.24 and 924.15

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Solution

The fourth proportional to 1,344.47, 1,854.24 and 924.15 is: 1,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.47 : 1,854.24 = 924.15 : x
  2. Step 2: Convert to fraction form
    1,344.47/1,854.24 = 924.15/x
  3. Step 3: Cross multiply
    1,344.47x = 1,854.24 × 924.15
  4. Step 4: Simplify right side
    1,344.47x = 1,713,595.90
  5. Step 5: Solve for x
    x = 1,713,595.90/1,344.47
  6. Step 6: Final answer
    x = 1,274.56

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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.