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Finding the Fourth Proportional to 2,023.88, 3,035.98 and 563.03

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Solution

The fourth proportional to 2,023.88, 3,035.98 and 563.03 is: 844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.88 : 3,035.98 = 563.03 : x
  2. Step 2: Convert to fraction form
    2,023.88/3,035.98 = 563.03/x
  3. Step 3: Cross multiply
    2,023.88x = 3,035.98 × 563.03
  4. Step 4: Simplify right side
    2,023.88x = 1,709,336.92
  5. Step 5: Solve for x
    x = 1,709,336.92/2,023.88
  6. Step 6: Final answer
    x = 844.59

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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.