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Finding the Fourth Proportional to 1,377.90, 2,065.01 and 1,231.47

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Solution

The fourth proportional to 1,377.90, 2,065.01 and 1,231.47 is: 1,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.90 : 2,065.01 = 1,231.47 : x
  2. Step 2: Convert to fraction form
    1,377.90/2,065.01 = 1,231.47/x
  3. Step 3: Cross multiply
    1,377.90x = 2,065.01 × 1,231.47
  4. Step 4: Simplify right side
    1,377.90x = 2,542,991.71
  5. Step 5: Solve for x
    x = 2,542,991.71/1,377.90
  6. Step 6: Final answer
    x = 1,845.56

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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.