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Finding the Fourth Proportional to 2,591.64, 3,889.40 and 1,010.61

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Solution

The fourth proportional to 2,591.64, 3,889.40 and 1,010.61 is: 1,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.64 : 3,889.40 = 1,010.61 : x
  2. Step 2: Convert to fraction form
    2,591.64/3,889.40 = 1,010.61/x
  3. Step 3: Cross multiply
    2,591.64x = 3,889.40 × 1,010.61
  4. Step 4: Simplify right side
    2,591.64x = 3,930,661.48
  5. Step 5: Solve for x
    x = 3,930,661.48/2,591.64
  6. Step 6: Final answer
    x = 1,516.67

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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.