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Finding the Fourth Proportional to 2,294.82, 3,442.26 and 563.44

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Solution

The fourth proportional to 2,294.82, 3,442.26 and 563.44 is: 845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.82 : 3,442.26 = 563.44 : x
  2. Step 2: Convert to fraction form
    2,294.82/3,442.26 = 563.44/x
  3. Step 3: Cross multiply
    2,294.82x = 3,442.26 × 563.44
  4. Step 4: Simplify right side
    2,294.82x = 1,939,506.97
  5. Step 5: Solve for x
    x = 1,939,506.97/2,294.82
  6. Step 6: Final answer
    x = 845.17

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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.