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Finding the Fourth Proportional to 2,864.76, 4,290.72 and 2,489.76

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Solution

The fourth proportional to 2,864.76, 4,290.72 and 2,489.76 is: 3,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.76 : 4,290.72 = 2,489.76 : x
  2. Step 2: Convert to fraction form
    2,864.76/4,290.72 = 2,489.76/x
  3. Step 3: Cross multiply
    2,864.76x = 4,290.72 × 2,489.76
  4. Step 4: Simplify right side
    2,864.76x = 10,682,863.03
  5. Step 5: Solve for x
    x = 10,682,863.03/2,864.76
  6. Step 6: Final answer
    x = 3,729.06

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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.