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Finding the Fourth Proportional to 1,374.07, 2,061.45 and 400.18

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Solution

The fourth proportional to 1,374.07, 2,061.45 and 400.18 is: 600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.07 : 2,061.45 = 400.18 : x
  2. Step 2: Convert to fraction form
    1,374.07/2,061.45 = 400.18/x
  3. Step 3: Cross multiply
    1,374.07x = 2,061.45 × 400.18
  4. Step 4: Simplify right side
    1,374.07x = 824,951.06
  5. Step 5: Solve for x
    x = 824,951.06/1,374.07
  6. Step 6: Final answer
    x = 600.37

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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.