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Finding the Fourth Proportional to 2,689.71, 4,019.00 and 2,061.57

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Solution

The fourth proportional to 2,689.71, 4,019.00 and 2,061.57 is: 3,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.71 : 4,019.00 = 2,061.57 : x
  2. Step 2: Convert to fraction form
    2,689.71/4,019.00 = 2,061.57/x
  3. Step 3: Cross multiply
    2,689.71x = 4,019.00 × 2,061.57
  4. Step 4: Simplify right side
    2,689.71x = 8,285,439.52
  5. Step 5: Solve for x
    x = 8,285,439.52/2,689.71
  6. Step 6: Final answer
    x = 3,080.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.