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Finding the Fourth Proportional to 2,726.70, 4,084.65 and 1,627.80

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Solution

The fourth proportional to 2,726.70, 4,084.65 and 1,627.80 is: 2,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.70 : 4,084.65 = 1,627.80 : x
  2. Step 2: Convert to fraction form
    2,726.70/4,084.65 = 1,627.80/x
  3. Step 3: Cross multiply
    2,726.70x = 4,084.65 × 1,627.80
  4. Step 4: Simplify right side
    2,726.70x = 6,648,993.27
  5. Step 5: Solve for x
    x = 6,648,993.27/2,726.70
  6. Step 6: Final answer
    x = 2,438.48

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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.