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Finding the Fourth Proportional to 3,411.96, 5,117.76 and 1,680

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Solution

The fourth proportional to 3,411.96, 5,117.76 and 1,680 is: 2,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.96 : 5,117.76 = 1,680 : x
  2. Step 2: Convert to fraction form
    3,411.96/5,117.76 = 1,680/x
  3. Step 3: Cross multiply
    3,411.96x = 5,117.76 × 1,680
  4. Step 4: Simplify right side
    3,411.96x = 8,597,836.80
  5. Step 5: Solve for x
    x = 8,597,836.80/3,411.96
  6. Step 6: Final answer
    x = 2,519.91

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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.