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Finding the Fourth Proportional to 2,023.98, 3,034.75 and 725.55

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Solution

The fourth proportional to 2,023.98, 3,034.75 and 725.55 is: 1,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.98 : 3,034.75 = 725.55 : x
  2. Step 2: Convert to fraction form
    2,023.98/3,034.75 = 725.55/x
  3. Step 3: Cross multiply
    2,023.98x = 3,034.75 × 725.55
  4. Step 4: Simplify right side
    2,023.98x = 2,201,862.86
  5. Step 5: Solve for x
    x = 2,201,862.86/2,023.98
  6. Step 6: Final answer
    x = 1,087.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.