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Finding the Fourth Proportional to 2,660.64, 3,991.86 and 1,017.42

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Solution

The fourth proportional to 2,660.64, 3,991.86 and 1,017.42 is: 1,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.64 : 3,991.86 = 1,017.42 : x
  2. Step 2: Convert to fraction form
    2,660.64/3,991.86 = 1,017.42/x
  3. Step 3: Cross multiply
    2,660.64x = 3,991.86 × 1,017.42
  4. Step 4: Simplify right side
    2,660.64x = 4,061,398.20
  5. Step 5: Solve for x
    x = 4,061,398.20/2,660.64
  6. Step 6: Final answer
    x = 1,526.47

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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.