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Finding the Fourth Proportional to 2,782.50, 3,839.92 and 1,603.38

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Solution

The fourth proportional to 2,782.50, 3,839.92 and 1,603.38 is: 2,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.50 : 3,839.92 = 1,603.38 : x
  2. Step 2: Convert to fraction form
    2,782.50/3,839.92 = 1,603.38/x
  3. Step 3: Cross multiply
    2,782.50x = 3,839.92 × 1,603.38
  4. Step 4: Simplify right side
    2,782.50x = 6,156,850.93
  5. Step 5: Solve for x
    x = 6,156,850.93/2,782.50
  6. Step 6: Final answer
    x = 2,212.70

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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.