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Finding the Fourth Proportional to 2,023.42, 3,034.78 and 562.72

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Solution

The fourth proportional to 2,023.42, 3,034.78 and 562.72 is: 843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.42 : 3,034.78 = 562.72 : x
  2. Step 2: Convert to fraction form
    2,023.42/3,034.78 = 562.72/x
  3. Step 3: Cross multiply
    2,023.42x = 3,034.78 × 562.72
  4. Step 4: Simplify right side
    2,023.42x = 1,707,731.40
  5. Step 5: Solve for x
    x = 1,707,731.40/2,023.42
  6. Step 6: Final answer
    x = 843.98

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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.