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Finding the Fourth Proportional to 2,295.11, 3,442.68 and 563.73

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Solution

The fourth proportional to 2,295.11, 3,442.68 and 563.73 is: 845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.11 : 3,442.68 = 563.73 : x
  2. Step 2: Convert to fraction form
    2,295.11/3,442.68 = 563.73/x
  3. Step 3: Cross multiply
    2,295.11x = 3,442.68 × 563.73
  4. Step 4: Simplify right side
    2,295.11x = 1,940,742.00
  5. Step 5: Solve for x
    x = 1,940,742.00/2,295.11
  6. Step 6: Final answer
    x = 845.60

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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.