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Finding the Fourth Proportional to 1,377.70, 2,066.55 and 1,243.30

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Solution

The fourth proportional to 1,377.70, 2,066.55 and 1,243.30 is: 1,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.70 : 2,066.55 = 1,243.30 : x
  2. Step 2: Convert to fraction form
    1,377.70/2,066.55 = 1,243.30/x
  3. Step 3: Cross multiply
    1,377.70x = 2,066.55 × 1,243.30
  4. Step 4: Simplify right side
    1,377.70x = 2,569,341.62
  5. Step 5: Solve for x
    x = 2,569,341.62/1,377.70
  6. Step 6: Final answer
    x = 1,864.95

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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.