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Finding the Fourth Proportional to 1,351.14, 2,026.71 and 377.24

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Solution

The fourth proportional to 1,351.14, 2,026.71 and 377.24 is: 565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.14 : 2,026.71 = 377.24 : x
  2. Step 2: Convert to fraction form
    1,351.14/2,026.71 = 377.24/x
  3. Step 3: Cross multiply
    1,351.14x = 2,026.71 × 377.24
  4. Step 4: Simplify right side
    1,351.14x = 764,545.95
  5. Step 5: Solve for x
    x = 764,545.95/1,351.14
  6. Step 6: Final answer
    x = 565.85

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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.