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Finding the Fourth Proportional to 1,542.53, 2,314.15 and 446.91

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Solution

The fourth proportional to 1,542.53, 2,314.15 and 446.91 is: 670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.53 : 2,314.15 = 446.91 : x
  2. Step 2: Convert to fraction form
    1,542.53/2,314.15 = 446.91/x
  3. Step 3: Cross multiply
    1,542.53x = 2,314.15 × 446.91
  4. Step 4: Simplify right side
    1,542.53x = 1,034,215.66
  5. Step 5: Solve for x
    x = 1,034,215.66/1,542.53
  6. Step 6: Final answer
    x = 670.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.