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Finding the Fourth Proportional to 2,713.97, 3,745.95 and 1,535.74

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Solution

The fourth proportional to 2,713.97, 3,745.95 and 1,535.74 is: 2,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.97 : 3,745.95 = 1,535.74 : x
  2. Step 2: Convert to fraction form
    2,713.97/3,745.95 = 1,535.74/x
  3. Step 3: Cross multiply
    2,713.97x = 3,745.95 × 1,535.74
  4. Step 4: Simplify right side
    2,713.97x = 5,752,805.25
  5. Step 5: Solve for x
    x = 5,752,805.25/2,713.97
  6. Step 6: Final answer
    x = 2,119.70

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Why These Related Problems?

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