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Finding the Fourth Proportional to 2,294.82, 3,442.20 and 563.46

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Solution

The fourth proportional to 2,294.82, 3,442.20 and 563.46 is: 845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.82 : 3,442.20 = 563.46 : x
  2. Step 2: Convert to fraction form
    2,294.82/3,442.20 = 563.46/x
  3. Step 3: Cross multiply
    2,294.82x = 3,442.20 × 563.46
  4. Step 4: Simplify right side
    2,294.82x = 1,939,542.01
  5. Step 5: Solve for x
    x = 1,939,542.01/2,294.82
  6. Step 6: Final answer
    x = 845.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.