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Finding the Fourth Proportional to 2,294.30, 3,167.08 and 1,769.42

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Solution

The fourth proportional to 2,294.30, 3,167.08 and 1,769.42 is: 2,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.30 : 3,167.08 = 1,769.42 : x
  2. Step 2: Convert to fraction form
    2,294.30/3,167.08 = 1,769.42/x
  3. Step 3: Cross multiply
    2,294.30x = 3,167.08 × 1,769.42
  4. Step 4: Simplify right side
    2,294.30x = 5,603,894.69
  5. Step 5: Solve for x
    x = 5,603,894.69/2,294.30
  6. Step 6: Final answer
    x = 2,442.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.