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Finding the Fourth Proportional to 1,806.17, 2,708.24 and 710.78

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Solution

The fourth proportional to 1,806.17, 2,708.24 and 710.78 is: 1,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.17 : 2,708.24 = 710.78 : x
  2. Step 2: Convert to fraction form
    1,806.17/2,708.24 = 710.78/x
  3. Step 3: Cross multiply
    1,806.17x = 2,708.24 × 710.78
  4. Step 4: Simplify right side
    1,806.17x = 1,924,945.73
  5. Step 5: Solve for x
    x = 1,924,945.73/1,806.17
  6. Step 6: Final answer
    x = 1,065.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.