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Finding the Fourth Proportional to 2,938.62, 4,400.03 and 1,549.07

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Solution

The fourth proportional to 2,938.62, 4,400.03 and 1,549.07 is: 2,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.62 : 4,400.03 = 1,549.07 : x
  2. Step 2: Convert to fraction form
    2,938.62/4,400.03 = 1,549.07/x
  3. Step 3: Cross multiply
    2,938.62x = 4,400.03 × 1,549.07
  4. Step 4: Simplify right side
    2,938.62x = 6,815,936.34
  5. Step 5: Solve for x
    x = 6,815,936.34/2,938.62
  6. Step 6: Final answer
    x = 2,319.43

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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.