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Finding the Fourth Proportional to 2,146.82, 3,220.47 and 759.87

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Solution

The fourth proportional to 2,146.82, 3,220.47 and 759.87 is: 1,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.82 : 3,220.47 = 759.87 : x
  2. Step 2: Convert to fraction form
    2,146.82/3,220.47 = 759.87/x
  3. Step 3: Cross multiply
    2,146.82x = 3,220.47 × 759.87
  4. Step 4: Simplify right side
    2,146.82x = 2,447,138.54
  5. Step 5: Solve for x
    x = 2,447,138.54/2,146.82
  6. Step 6: Final answer
    x = 1,139.89

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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.