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Finding the Fourth Proportional to 1,377.97, 2,055.68 and 1,340.31

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Solution

The fourth proportional to 1,377.97, 2,055.68 and 1,340.31 is: 1,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.97 : 2,055.68 = 1,340.31 : x
  2. Step 2: Convert to fraction form
    1,377.97/2,055.68 = 1,340.31/x
  3. Step 3: Cross multiply
    1,377.97x = 2,055.68 × 1,340.31
  4. Step 4: Simplify right side
    1,377.97x = 2,755,248.46
  5. Step 5: Solve for x
    x = 2,755,248.46/1,377.97
  6. Step 6: Final answer
    x = 1,999.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.