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Finding the Fourth Proportional to 2,938.70, 4,408.05 and 2,289.92

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Solution

The fourth proportional to 2,938.70, 4,408.05 and 2,289.92 is: 3,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.70 : 4,408.05 = 2,289.92 : x
  2. Step 2: Convert to fraction form
    2,938.70/4,408.05 = 2,289.92/x
  3. Step 3: Cross multiply
    2,938.70x = 4,408.05 × 2,289.92
  4. Step 4: Simplify right side
    2,938.70x = 10,094,081.86
  5. Step 5: Solve for x
    x = 10,094,081.86/2,938.70
  6. Step 6: Final answer
    x = 3,434.88

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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.