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Finding the Fourth Proportional to 2,689.02, 3,711.24 and 2,024.82

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Solution

The fourth proportional to 2,689.02, 3,711.24 and 2,024.82 is: 2,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.02 : 3,711.24 = 2,024.82 : x
  2. Step 2: Convert to fraction form
    2,689.02/3,711.24 = 2,024.82/x
  3. Step 3: Cross multiply
    2,689.02x = 3,711.24 × 2,024.82
  4. Step 4: Simplify right side
    2,689.02x = 7,514,592.98
  5. Step 5: Solve for x
    x = 7,514,592.98/2,689.02
  6. Step 6: Final answer
    x = 2,794.55

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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.