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Finding the Fourth Proportional to 2,023.30, 3,034.60 and 562.57

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Solution

The fourth proportional to 2,023.30, 3,034.60 and 562.57 is: 843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.30 : 3,034.60 = 562.57 : x
  2. Step 2: Convert to fraction form
    2,023.30/3,034.60 = 562.57/x
  3. Step 3: Cross multiply
    2,023.30x = 3,034.60 × 562.57
  4. Step 4: Simplify right side
    2,023.30x = 1,707,165.93
  5. Step 5: Solve for x
    x = 1,707,165.93/2,023.30
  6. Step 6: Final answer
    x = 843.75

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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.