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Finding the Fourth Proportional to 2,023.91, 3,035.32 and 563.14

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Solution

The fourth proportional to 2,023.91, 3,035.32 and 563.14 is: 844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.91 : 3,035.32 = 563.14 : x
  2. Step 2: Convert to fraction form
    2,023.91/3,035.32 = 563.14/x
  3. Step 3: Cross multiply
    2,023.91x = 3,035.32 × 563.14
  4. Step 4: Simplify right side
    2,023.91x = 1,709,301.11
  5. Step 5: Solve for x
    x = 1,709,301.11/2,023.91
  6. Step 6: Final answer
    x = 844.56

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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.