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Finding the Fourth Proportional to 2,023.59, 3,036.15 and 791.88

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Solution

The fourth proportional to 2,023.59, 3,036.15 and 791.88 is: 1,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.59 : 3,036.15 = 791.88 : x
  2. Step 2: Convert to fraction form
    2,023.59/3,036.15 = 791.88/x
  3. Step 3: Cross multiply
    2,023.59x = 3,036.15 × 791.88
  4. Step 4: Simplify right side
    2,023.59x = 2,404,266.46
  5. Step 5: Solve for x
    x = 2,404,266.46/2,023.59
  6. Step 6: Final answer
    x = 1,188.12

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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.