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Finding the Fourth Proportional to 2,024.70, 3,036.86 and 563.92

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Solution

The fourth proportional to 2,024.70, 3,036.86 and 563.92 is: 845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.70 : 3,036.86 = 563.92 : x
  2. Step 2: Convert to fraction form
    2,024.70/3,036.86 = 563.92/x
  3. Step 3: Cross multiply
    2,024.70x = 3,036.86 × 563.92
  4. Step 4: Simplify right side
    2,024.70x = 1,712,546.09
  5. Step 5: Solve for x
    x = 1,712,546.09/2,024.70
  6. Step 6: Final answer
    x = 845.83

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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.