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Finding the Fourth Proportional to 1,377.72, 1,900.87 and 1,308.47

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Solution

The fourth proportional to 1,377.72, 1,900.87 and 1,308.47 is: 1,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.72 : 1,900.87 = 1,308.47 : x
  2. Step 2: Convert to fraction form
    1,377.72/1,900.87 = 1,308.47/x
  3. Step 3: Cross multiply
    1,377.72x = 1,900.87 × 1,308.47
  4. Step 4: Simplify right side
    1,377.72x = 2,487,218.59
  5. Step 5: Solve for x
    x = 2,487,218.59/1,377.72
  6. Step 6: Final answer
    x = 1,805.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.