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Finding the Fourth Proportional to 1,377.66, 2,061.68 and 1,297.71

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Solution

The fourth proportional to 1,377.66, 2,061.68 and 1,297.71 is: 1,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.66 : 2,061.68 = 1,297.71 : x
  2. Step 2: Convert to fraction form
    1,377.66/2,061.68 = 1,297.71/x
  3. Step 3: Cross multiply
    1,377.66x = 2,061.68 × 1,297.71
  4. Step 4: Simplify right side
    1,377.66x = 2,675,456.26
  5. Step 5: Solve for x
    x = 2,675,456.26/1,377.66
  6. Step 6: Final answer
    x = 1,942.03

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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.