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Finding the Fourth Proportional to 2,689.32, 3,711.42 and 1,641.72

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Solution

The fourth proportional to 2,689.32, 3,711.42 and 1,641.72 is: 2,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.32 : 3,711.42 = 1,641.72 : x
  2. Step 2: Convert to fraction form
    2,689.32/3,711.42 = 1,641.72/x
  3. Step 3: Cross multiply
    2,689.32x = 3,711.42 × 1,641.72
  4. Step 4: Simplify right side
    2,689.32x = 6,093,112.44
  5. Step 5: Solve for x
    x = 6,093,112.44/2,689.32
  6. Step 6: Final answer
    x = 2,265.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.