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Finding the Fourth Proportional to 2,146.80, 3,220.02 and 759.84

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Solution

The fourth proportional to 2,146.80, 3,220.02 and 759.84 is: 1,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.80 : 3,220.02 = 759.84 : x
  2. Step 2: Convert to fraction form
    2,146.80/3,220.02 = 759.84/x
  3. Step 3: Cross multiply
    2,146.80x = 3,220.02 × 759.84
  4. Step 4: Simplify right side
    2,146.80x = 2,446,700.00
  5. Step 5: Solve for x
    x = 2,446,700.00/2,146.80
  6. Step 6: Final answer
    x = 1,139.70

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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.