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Finding the Fourth Proportional to 2,685.52, 3,706.21 and 1,490.57

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Solution

The fourth proportional to 2,685.52, 3,706.21 and 1,490.57 is: 2,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.52 : 3,706.21 = 1,490.57 : x
  2. Step 2: Convert to fraction form
    2,685.52/3,706.21 = 1,490.57/x
  3. Step 3: Cross multiply
    2,685.52x = 3,706.21 × 1,490.57
  4. Step 4: Simplify right side
    2,685.52x = 5,524,365.44
  5. Step 5: Solve for x
    x = 5,524,365.44/2,685.52
  6. Step 6: Final answer
    x = 2,057.09

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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.