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Finding the Fourth Proportional to 2,295.19, 3,442.79 and 563.81

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Solution

The fourth proportional to 2,295.19, 3,442.79 and 563.81 is: 845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.19 : 3,442.79 = 563.81 : x
  2. Step 2: Convert to fraction form
    2,295.19/3,442.79 = 563.81/x
  3. Step 3: Cross multiply
    2,295.19x = 3,442.79 × 563.81
  4. Step 4: Simplify right side
    2,295.19x = 1,941,089.45
  5. Step 5: Solve for x
    x = 1,941,089.45/2,295.19
  6. Step 6: Final answer
    x = 845.72

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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.