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Finding the Fourth Proportional to 2,073.13, 3,109.05 and 686.17

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Solution

The fourth proportional to 2,073.13, 3,109.05 and 686.17 is: 1,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.13 : 3,109.05 = 686.17 : x
  2. Step 2: Convert to fraction form
    2,073.13/3,109.05 = 686.17/x
  3. Step 3: Cross multiply
    2,073.13x = 3,109.05 × 686.17
  4. Step 4: Simplify right side
    2,073.13x = 2,133,336.84
  5. Step 5: Solve for x
    x = 2,133,336.84/2,073.13
  6. Step 6: Final answer
    x = 1,029.04

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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.