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Finding the Fourth Proportional to 2,295.14, 3,442.72 and 563.76

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Solution

The fourth proportional to 2,295.14, 3,442.72 and 563.76 is: 845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.14 : 3,442.72 = 563.76 : x
  2. Step 2: Convert to fraction form
    2,295.14/3,442.72 = 563.76/x
  3. Step 3: Cross multiply
    2,295.14x = 3,442.72 × 563.76
  4. Step 4: Simplify right side
    2,295.14x = 1,940,867.83
  5. Step 5: Solve for x
    x = 1,940,867.83/2,295.14
  6. Step 6: Final answer
    x = 845.64

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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.