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Finding the Fourth Proportional to 3,354.40, 4,631.34 and 2,029.24

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Solution

The fourth proportional to 3,354.40, 4,631.34 and 2,029.24 is: 2,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.40 : 4,631.34 = 2,029.24 : x
  2. Step 2: Convert to fraction form
    3,354.40/4,631.34 = 2,029.24/x
  3. Step 3: Cross multiply
    3,354.40x = 4,631.34 × 2,029.24
  4. Step 4: Simplify right side
    3,354.40x = 9,398,100.38
  5. Step 5: Solve for x
    x = 9,398,100.38/3,354.40
  6. Step 6: Final answer
    x = 2,801.72

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Why These Related Problems?

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