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Finding the Fourth Proportional to 2,543.24, 3,797.90 and 1,989.20

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Solution

The fourth proportional to 2,543.24, 3,797.90 and 1,989.20 is: 2,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.24 : 3,797.90 = 1,989.20 : x
  2. Step 2: Convert to fraction form
    2,543.24/3,797.90 = 1,989.20/x
  3. Step 3: Cross multiply
    2,543.24x = 3,797.90 × 1,989.20
  4. Step 4: Simplify right side
    2,543.24x = 7,554,782.23
  5. Step 5: Solve for x
    x = 7,554,782.23/2,543.24
  6. Step 6: Final answer
    x = 2,970.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.