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Finding the Fourth Proportional to 2,706.06, 3,732 and 2,115.60

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Solution

The fourth proportional to 2,706.06, 3,732 and 2,115.60 is: 2,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.06 : 3,732 = 2,115.60 : x
  2. Step 2: Convert to fraction form
    2,706.06/3,732 = 2,115.60/x
  3. Step 3: Cross multiply
    2,706.06x = 3,732 × 2,115.60
  4. Step 4: Simplify right side
    2,706.06x = 7,895,419.20
  5. Step 5: Solve for x
    x = 7,895,419.20/2,706.06
  6. Step 6: Final answer
    x = 2,917.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.