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Finding the Fourth Proportional to 2,708.43, 4,059.70 and 1,320.19

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Solution

The fourth proportional to 2,708.43, 4,059.70 and 1,320.19 is: 1,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.43 : 4,059.70 = 1,320.19 : x
  2. Step 2: Convert to fraction form
    2,708.43/4,059.70 = 1,320.19/x
  3. Step 3: Cross multiply
    2,708.43x = 4,059.70 × 1,320.19
  4. Step 4: Simplify right side
    2,708.43x = 5,359,575.34
  5. Step 5: Solve for x
    x = 5,359,575.34/2,708.43
  6. Step 6: Final answer
    x = 1,978.85

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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.