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Finding the Fourth Proportional to 2,689.59, 4,031.96 and 957.81

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Solution

The fourth proportional to 2,689.59, 4,031.96 and 957.81 is: 1,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.59 : 4,031.96 = 957.81 : x
  2. Step 2: Convert to fraction form
    2,689.59/4,031.96 = 957.81/x
  3. Step 3: Cross multiply
    2,689.59x = 4,031.96 × 957.81
  4. Step 4: Simplify right side
    2,689.59x = 3,861,846.82
  5. Step 5: Solve for x
    x = 3,861,846.82/2,689.59
  6. Step 6: Final answer
    x = 1,435.85

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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.