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Finding the Fourth Proportional to 2,738.80, 4,108.17 and 686.80

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Solution

The fourth proportional to 2,738.80, 4,108.17 and 686.80 is: 1,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.80 : 4,108.17 = 686.80 : x
  2. Step 2: Convert to fraction form
    2,738.80/4,108.17 = 686.80/x
  3. Step 3: Cross multiply
    2,738.80x = 4,108.17 × 686.80
  4. Step 4: Simplify right side
    2,738.80x = 2,821,491.16
  5. Step 5: Solve for x
    x = 2,821,491.16/2,738.80
  6. Step 6: Final answer
    x = 1,030.19

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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.