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Finding the Fourth Proportional to 2,631.70, 3,948.17 and 782.83

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Solution

The fourth proportional to 2,631.70, 3,948.17 and 782.83 is: 1,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.70 : 3,948.17 = 782.83 : x
  2. Step 2: Convert to fraction form
    2,631.70/3,948.17 = 782.83/x
  3. Step 3: Cross multiply
    2,631.70x = 3,948.17 × 782.83
  4. Step 4: Simplify right side
    2,631.70x = 3,090,745.92
  5. Step 5: Solve for x
    x = 3,090,745.92/2,631.70
  6. Step 6: Final answer
    x = 1,174.43

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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.