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Finding the Fourth Proportional to 2,982.92, 4,116.40 and 1,656.55

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Solution

The fourth proportional to 2,982.92, 4,116.40 and 1,656.55 is: 2,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.92 : 4,116.40 = 1,656.55 : x
  2. Step 2: Convert to fraction form
    2,982.92/4,116.40 = 1,656.55/x
  3. Step 3: Cross multiply
    2,982.92x = 4,116.40 × 1,656.55
  4. Step 4: Simplify right side
    2,982.92x = 6,819,001.84
  5. Step 5: Solve for x
    x = 6,819,001.84/2,982.92
  6. Step 6: Final answer
    x = 2,286.02

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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.