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Finding the Fourth Proportional to 2,505.97, 3,758.14 and 862.17

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Solution

The fourth proportional to 2,505.97, 3,758.14 and 862.17 is: 1,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.97 : 3,758.14 = 862.17 : x
  2. Step 2: Convert to fraction form
    2,505.97/3,758.14 = 862.17/x
  3. Step 3: Cross multiply
    2,505.97x = 3,758.14 × 862.17
  4. Step 4: Simplify right side
    2,505.97x = 3,240,155.56
  5. Step 5: Solve for x
    x = 3,240,155.56/2,505.97
  6. Step 6: Final answer
    x = 1,292.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.