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Finding the Fourth Proportional to 1,374.13, 2,061.39 and 400.09

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Solution

The fourth proportional to 1,374.13, 2,061.39 and 400.09 is: 600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.13 : 2,061.39 = 400.09 : x
  2. Step 2: Convert to fraction form
    1,374.13/2,061.39 = 400.09/x
  3. Step 3: Cross multiply
    1,374.13x = 2,061.39 × 400.09
  4. Step 4: Simplify right side
    1,374.13x = 824,741.53
  5. Step 5: Solve for x
    x = 824,741.53/1,374.13
  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.