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Finding the Fourth Proportional to 2,659.40, 3,989.10 and 1,015.10

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Solution

The fourth proportional to 2,659.40, 3,989.10 and 1,015.10 is: 1,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.40 : 3,989.10 = 1,015.10 : x
  2. Step 2: Convert to fraction form
    2,659.40/3,989.10 = 1,015.10/x
  3. Step 3: Cross multiply
    2,659.40x = 3,989.10 × 1,015.10
  4. Step 4: Simplify right side
    2,659.40x = 4,049,335.41
  5. Step 5: Solve for x
    x = 4,049,335.41/2,659.40
  6. Step 6: Final answer
    x = 1,522.65

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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.