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Finding the Fourth Proportional to 2,657.43, 3,669.98 and 1,993.23

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Solution

The fourth proportional to 2,657.43, 3,669.98 and 1,993.23 is: 2,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.43 : 3,669.98 = 1,993.23 : x
  2. Step 2: Convert to fraction form
    2,657.43/3,669.98 = 1,993.23/x
  3. Step 3: Cross multiply
    2,657.43x = 3,669.98 × 1,993.23
  4. Step 4: Simplify right side
    2,657.43x = 7,315,104.27
  5. Step 5: Solve for x
    x = 7,315,104.27/2,657.43
  6. Step 6: Final answer
    x = 2,752.70

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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.