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Finding the Fourth Proportional to 2,722.90, 3,757.40 and 1,543.80

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Solution

The fourth proportional to 2,722.90, 3,757.40 and 1,543.80 is: 2,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.90 : 3,757.40 = 1,543.80 : x
  2. Step 2: Convert to fraction form
    2,722.90/3,757.40 = 1,543.80/x
  3. Step 3: Cross multiply
    2,722.90x = 3,757.40 × 1,543.80
  4. Step 4: Simplify right side
    2,722.90x = 5,800,674.12
  5. Step 5: Solve for x
    x = 5,800,674.12/2,722.90
  6. Step 6: Final answer
    x = 2,130.33

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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.