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Finding the Fourth Proportional to 1,540.20, 2,125.44 and 868.00

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Solution

The fourth proportional to 1,540.20, 2,125.44 and 868.00 is: 1,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.20 : 2,125.44 = 868.00 : x
  2. Step 2: Convert to fraction form
    1,540.20/2,125.44 = 868.00/x
  3. Step 3: Cross multiply
    1,540.20x = 2,125.44 × 868.00
  4. Step 4: Simplify right side
    1,540.20x = 1,844,880.59
  5. Step 5: Solve for x
    x = 1,844,880.59/1,540.20
  6. Step 6: Final answer
    x = 1,197.82

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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.