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Finding the Fourth Proportional to 2,024.06, 3,036.09 and 563.21

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Solution

The fourth proportional to 2,024.06, 3,036.09 and 563.21 is: 844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.06 : 3,036.09 = 563.21 : x
  2. Step 2: Convert to fraction form
    2,024.06/3,036.09 = 563.21/x
  3. Step 3: Cross multiply
    2,024.06x = 3,036.09 × 563.21
  4. Step 4: Simplify right side
    2,024.06x = 1,709,962.43
  5. Step 5: Solve for x
    x = 1,709,962.43/2,024.06
  6. Step 6: Final answer
    x = 844.82

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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.