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Finding the Fourth Proportional to 1,639.65, 2,257.49 and 1,527.87

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Solution

The fourth proportional to 1,639.65, 2,257.49 and 1,527.87 is: 2,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.65 : 2,257.49 = 1,527.87 : x
  2. Step 2: Convert to fraction form
    1,639.65/2,257.49 = 1,527.87/x
  3. Step 3: Cross multiply
    1,639.65x = 2,257.49 × 1,527.87
  4. Step 4: Simplify right side
    1,639.65x = 3,449,151.25
  5. Step 5: Solve for x
    x = 3,449,151.25/1,639.65
  6. Step 6: Final answer
    x = 2,103.59

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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.