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Finding the Fourth Proportional to 2,125.02, 3,187.67 and 738.49

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Solution

The fourth proportional to 2,125.02, 3,187.67 and 738.49 is: 1,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.02 : 3,187.67 = 738.49 : x
  2. Step 2: Convert to fraction form
    2,125.02/3,187.67 = 738.49/x
  3. Step 3: Cross multiply
    2,125.02x = 3,187.67 × 738.49
  4. Step 4: Simplify right side
    2,125.02x = 2,354,062.42
  5. Step 5: Solve for x
    x = 2,354,062.42/2,125.02
  6. Step 6: Final answer
    x = 1,107.78

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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.