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Finding the Fourth Proportional to 2,860.16, 3,947.18 and 1,601.28

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Solution

The fourth proportional to 2,860.16, 3,947.18 and 1,601.28 is: 2,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.16 : 3,947.18 = 1,601.28 : x
  2. Step 2: Convert to fraction form
    2,860.16/3,947.18 = 1,601.28/x
  3. Step 3: Cross multiply
    2,860.16x = 3,947.18 × 1,601.28
  4. Step 4: Simplify right side
    2,860.16x = 6,320,532.38
  5. Step 5: Solve for x
    x = 6,320,532.38/2,860.16
  6. Step 6: Final answer
    x = 2,209.86

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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.