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Finding the Fourth Proportional to 1,913.20, 2,869.26 and 680.68

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Solution

The fourth proportional to 1,913.20, 2,869.26 and 680.68 is: 1,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.20 : 2,869.26 = 680.68 : x
  2. Step 2: Convert to fraction form
    1,913.20/2,869.26 = 680.68/x
  3. Step 3: Cross multiply
    1,913.20x = 2,869.26 × 680.68
  4. Step 4: Simplify right side
    1,913.20x = 1,953,047.90
  5. Step 5: Solve for x
    x = 1,953,047.90/1,913.20
  6. Step 6: Final answer
    x = 1,020.83

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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.