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Finding the Fourth Proportional to 1,374.23, 2,061.38 and 400.41

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Solution

The fourth proportional to 1,374.23, 2,061.38 and 400.41 is: 600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.23 : 2,061.38 = 400.41 : x
  2. Step 2: Convert to fraction form
    1,374.23/2,061.38 = 400.41/x
  3. Step 3: Cross multiply
    1,374.23x = 2,061.38 × 400.41
  4. Step 4: Simplify right side
    1,374.23x = 825,398.17
  5. Step 5: Solve for x
    x = 825,398.17/1,374.23
  6. Step 6: Final answer
    x = 600.62

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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.