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Finding the Fourth Proportional to 3,101.68, 4,654.10 and 2,062.38

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Solution

The fourth proportional to 3,101.68, 4,654.10 and 2,062.38 is: 3,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.68 : 4,654.10 = 2,062.38 : x
  2. Step 2: Convert to fraction form
    3,101.68/4,654.10 = 2,062.38/x
  3. Step 3: Cross multiply
    3,101.68x = 4,654.10 × 2,062.38
  4. Step 4: Simplify right side
    3,101.68x = 9,598,522.76
  5. Step 5: Solve for x
    x = 9,598,522.76/3,101.68
  6. Step 6: Final answer
    x = 3,094.62

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