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Finding the Fourth Proportional to 1,385.54, 1,901.29 and 1,260.25

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Solution

The fourth proportional to 1,385.54, 1,901.29 and 1,260.25 is: 1,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.54 : 1,901.29 = 1,260.25 : x
  2. Step 2: Convert to fraction form
    1,385.54/1,901.29 = 1,260.25/x
  3. Step 3: Cross multiply
    1,385.54x = 1,901.29 × 1,260.25
  4. Step 4: Simplify right side
    1,385.54x = 2,396,092.82
  5. Step 5: Solve for x
    x = 2,396,092.82/1,385.54
  6. Step 6: Final answer
    x = 1,729.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.