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Finding the Fourth Proportional to 2,294.33, 3,442.10 and 1,472.99

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Solution

The fourth proportional to 2,294.33, 3,442.10 and 1,472.99 is: 2,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.33 : 3,442.10 = 1,472.99 : x
  2. Step 2: Convert to fraction form
    2,294.33/3,442.10 = 1,472.99/x
  3. Step 3: Cross multiply
    2,294.33x = 3,442.10 × 1,472.99
  4. Step 4: Simplify right side
    2,294.33x = 5,070,154.30
  5. Step 5: Solve for x
    x = 5,070,154.30/2,294.33
  6. Step 6: Final answer
    x = 2,209.87

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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.