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Finding the Fourth Proportional to 2,660.76, 3,988.41 and 1,016.87

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Solution

The fourth proportional to 2,660.76, 3,988.41 and 1,016.87 is: 1,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.76 : 3,988.41 = 1,016.87 : x
  2. Step 2: Convert to fraction form
    2,660.76/3,988.41 = 1,016.87/x
  3. Step 3: Cross multiply
    2,660.76x = 3,988.41 × 1,016.87
  4. Step 4: Simplify right side
    2,660.76x = 4,055,670.72
  5. Step 5: Solve for x
    x = 4,055,670.72/2,660.76
  6. Step 6: Final answer
    x = 1,524.25

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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.