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Finding the Fourth Proportional to 2,706.69, 4,052.12 and 2,447.29

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Solution

The fourth proportional to 2,706.69, 4,052.12 and 2,447.29 is: 3,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.69 : 4,052.12 = 2,447.29 : x
  2. Step 2: Convert to fraction form
    2,706.69/4,052.12 = 2,447.29/x
  3. Step 3: Cross multiply
    2,706.69x = 4,052.12 × 2,447.29
  4. Step 4: Simplify right side
    2,706.69x = 9,916,690.39
  5. Step 5: Solve for x
    x = 9,916,690.39/2,706.69
  6. Step 6: Final answer
    x = 3,663.77

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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.