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Finding the Fourth Proportional to 2,536.92, 3,500.42 and 1,654.02

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Solution

The fourth proportional to 2,536.92, 3,500.42 and 1,654.02 is: 2,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.92 : 3,500.42 = 1,654.02 : x
  2. Step 2: Convert to fraction form
    2,536.92/3,500.42 = 1,654.02/x
  3. Step 3: Cross multiply
    2,536.92x = 3,500.42 × 1,654.02
  4. Step 4: Simplify right side
    2,536.92x = 5,789,756.42
  5. Step 5: Solve for x
    x = 5,789,756.42/2,536.92
  6. Step 6: Final answer
    x = 2,282.20

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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.