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Finding the Fourth Proportional to 2,507.70, 3,761.97 and 863.88

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Solution

The fourth proportional to 2,507.70, 3,761.97 and 863.88 is: 1,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.70 : 3,761.97 = 863.88 : x
  2. Step 2: Convert to fraction form
    2,507.70/3,761.97 = 863.88/x
  3. Step 3: Cross multiply
    2,507.70x = 3,761.97 × 863.88
  4. Step 4: Simplify right side
    2,507.70x = 3,249,890.64
  5. Step 5: Solve for x
    x = 3,249,890.64/2,507.70
  6. Step 6: Final answer
    x = 1,295.96

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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.