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Finding the Fourth Proportional to 1,374.30, 2,061.23 and 400.17

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Solution

The fourth proportional to 1,374.30, 2,061.23 and 400.17 is: 600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.30 : 2,061.23 = 400.17 : x
  2. Step 2: Convert to fraction form
    1,374.30/2,061.23 = 400.17/x
  3. Step 3: Cross multiply
    1,374.30x = 2,061.23 × 400.17
  4. Step 4: Simplify right side
    1,374.30x = 824,840.41
  5. Step 5: Solve for x
    x = 824,840.41/1,374.30
  6. Step 6: Final answer
    x = 600.19

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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.