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Finding the Fourth Proportional to 1,793.26, 2,471.88 and 1,642.60

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Solution

The fourth proportional to 1,793.26, 2,471.88 and 1,642.60 is: 2,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.26 : 2,471.88 = 1,642.60 : x
  2. Step 2: Convert to fraction form
    1,793.26/2,471.88 = 1,642.60/x
  3. Step 3: Cross multiply
    1,793.26x = 2,471.88 × 1,642.60
  4. Step 4: Simplify right side
    1,793.26x = 4,060,310.09
  5. Step 5: Solve for x
    x = 4,060,310.09/1,793.26
  6. Step 6: Final answer
    x = 2,264.21

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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.