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Finding the Fourth Proportional to 2,024.46, 3,036.31 and 563.62

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Solution

The fourth proportional to 2,024.46, 3,036.31 and 563.62 is: 845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.46 : 3,036.31 = 563.62 : x
  2. Step 2: Convert to fraction form
    2,024.46/3,036.31 = 563.62/x
  3. Step 3: Cross multiply
    2,024.46x = 3,036.31 × 563.62
  4. Step 4: Simplify right side
    2,024.46x = 1,711,325.04
  5. Step 5: Solve for x
    x = 1,711,325.04/2,024.46
  6. Step 6: Final answer
    x = 845.32

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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.