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Finding the Fourth Proportional to 1,374.04, 2,061.42 and 400.15

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Solution

The fourth proportional to 1,374.04, 2,061.42 and 400.15 is: 600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.04 : 2,061.42 = 400.15 : x
  2. Step 2: Convert to fraction form
    1,374.04/2,061.42 = 400.15/x
  3. Step 3: Cross multiply
    1,374.04x = 2,061.42 × 400.15
  4. Step 4: Simplify right side
    1,374.04x = 824,877.21
  5. Step 5: Solve for x
    x = 824,877.21/1,374.04
  6. Step 6: Final answer
    x = 600.33

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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.