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Finding the Fourth Proportional to 2,898.38, 4,344.84 and 949.52

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Solution

The fourth proportional to 2,898.38, 4,344.84 and 949.52 is: 1,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.38 : 4,344.84 = 949.52 : x
  2. Step 2: Convert to fraction form
    2,898.38/4,344.84 = 949.52/x
  3. Step 3: Cross multiply
    2,898.38x = 4,344.84 × 949.52
  4. Step 4: Simplify right side
    2,898.38x = 4,125,523.34
  5. Step 5: Solve for x
    x = 4,125,523.34/2,898.38
  6. Step 6: Final answer
    x = 1,423.39

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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.