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Finding the Fourth Proportional to 1,374.14, 2,061.15 and 400.25

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Solution

The fourth proportional to 1,374.14, 2,061.15 and 400.25 is: 600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.14 : 2,061.15 = 400.25 : x
  2. Step 2: Convert to fraction form
    1,374.14/2,061.15 = 400.25/x
  3. Step 3: Cross multiply
    1,374.14x = 2,061.15 × 400.25
  4. Step 4: Simplify right side
    1,374.14x = 824,964.98
  5. Step 5: Solve for x
    x = 824,964.98/1,374.14
  6. Step 6: Final answer
    x = 600.35

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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.