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Finding the Fourth Proportional to 2,538, 3,807.76 and 1,077.27

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Solution

The fourth proportional to 2,538, 3,807.76 and 1,077.27 is: 1,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538 : 3,807.76 = 1,077.27 : x
  2. Step 2: Convert to fraction form
    2,538/3,807.76 = 1,077.27/x
  3. Step 3: Cross multiply
    2,538x = 3,807.76 × 1,077.27
  4. Step 4: Simplify right side
    2,538x = 4,101,970.66
  5. Step 5: Solve for x
    x = 4,101,970.66/2,538
  6. Step 6: Final answer
    x = 1,616.22

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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.