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Finding the Fourth Proportional to 2,024.03, 3,036.05 and 563.19

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Solution

The fourth proportional to 2,024.03, 3,036.05 and 563.19 is: 844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.03 : 3,036.05 = 563.19 : x
  2. Step 2: Convert to fraction form
    2,024.03/3,036.05 = 563.19/x
  3. Step 3: Cross multiply
    2,024.03x = 3,036.05 × 563.19
  4. Step 4: Simplify right side
    2,024.03x = 1,709,857.82
  5. Step 5: Solve for x
    x = 1,709,857.82/2,024.03
  6. Step 6: Final answer
    x = 844.78

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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.