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Finding the Fourth Proportional to 2,689.01, 4,031.96 and 1,043.65

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Solution

The fourth proportional to 2,689.01, 4,031.96 and 1,043.65 is: 1,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.01 : 4,031.96 = 1,043.65 : x
  2. Step 2: Convert to fraction form
    2,689.01/4,031.96 = 1,043.65/x
  3. Step 3: Cross multiply
    2,689.01x = 4,031.96 × 1,043.65
  4. Step 4: Simplify right side
    2,689.01x = 4,207,960.75
  5. Step 5: Solve for x
    x = 4,207,960.75/2,689.01
  6. Step 6: Final answer
    x = 1,564.87

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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.