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Finding the Fourth Proportional to 2,982.62, 4,115.71 and 1,656.18

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Solution

The fourth proportional to 2,982.62, 4,115.71 and 1,656.18 is: 2,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.62 : 4,115.71 = 1,656.18 : x
  2. Step 2: Convert to fraction form
    2,982.62/4,115.71 = 1,656.18/x
  3. Step 3: Cross multiply
    2,982.62x = 4,115.71 × 1,656.18
  4. Step 4: Simplify right side
    2,982.62x = 6,816,358.66
  5. Step 5: Solve for x
    x = 6,816,358.66/2,982.62
  6. Step 6: Final answer
    x = 2,285.36

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