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Finding the Fourth Proportional to 1,414.90, 2,122.17 and 374.91

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Solution

The fourth proportional to 1,414.90, 2,122.17 and 374.91 is: 562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.90 : 2,122.17 = 374.91 : x
  2. Step 2: Convert to fraction form
    1,414.90/2,122.17 = 374.91/x
  3. Step 3: Cross multiply
    1,414.90x = 2,122.17 × 374.91
  4. Step 4: Simplify right side
    1,414.90x = 795,613.39
  5. Step 5: Solve for x
    x = 795,613.39/1,414.90
  6. Step 6: Final answer
    x = 562.31

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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.