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Finding the Fourth Proportional to 2,706.29, 4,053.05 and 2,117.17

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Solution

The fourth proportional to 2,706.29, 4,053.05 and 2,117.17 is: 3,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.29 : 4,053.05 = 2,117.17 : x
  2. Step 2: Convert to fraction form
    2,706.29/4,053.05 = 2,117.17/x
  3. Step 3: Cross multiply
    2,706.29x = 4,053.05 × 2,117.17
  4. Step 4: Simplify right side
    2,706.29x = 8,581,010.20
  5. Step 5: Solve for x
    x = 8,581,010.20/2,706.29
  6. Step 6: Final answer
    x = 3,170.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.