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Finding the Fourth Proportional to 2,728.80, 3,756.51 and 2,448.95

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Solution

The fourth proportional to 2,728.80, 3,756.51 and 2,448.95 is: 3,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.80 : 3,756.51 = 2,448.95 : x
  2. Step 2: Convert to fraction form
    2,728.80/3,756.51 = 2,448.95/x
  3. Step 3: Cross multiply
    2,728.80x = 3,756.51 × 2,448.95
  4. Step 4: Simplify right side
    2,728.80x = 9,199,486.38
  5. Step 5: Solve for x
    x = 9,199,486.38/2,728.80
  6. Step 6: Final answer
    x = 3,371.26

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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.