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Finding the Fourth Proportional to 2,517.70, 3,775.06 and 762.18

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Solution

The fourth proportional to 2,517.70, 3,775.06 and 762.18 is: 1,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.70 : 3,775.06 = 762.18 : x
  2. Step 2: Convert to fraction form
    2,517.70/3,775.06 = 762.18/x
  3. Step 3: Cross multiply
    2,517.70x = 3,775.06 × 762.18
  4. Step 4: Simplify right side
    2,517.70x = 2,877,275.23
  5. Step 5: Solve for x
    x = 2,877,275.23/2,517.70
  6. Step 6: Final answer
    x = 1,142.82

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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.