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Finding the Fourth Proportional to 2,737.56, 3,777.84 and 1,689.36

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Solution

The fourth proportional to 2,737.56, 3,777.84 and 1,689.36 is: 2,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.56 : 3,777.84 = 1,689.36 : x
  2. Step 2: Convert to fraction form
    2,737.56/3,777.84 = 1,689.36/x
  3. Step 3: Cross multiply
    2,737.56x = 3,777.84 × 1,689.36
  4. Step 4: Simplify right side
    2,737.56x = 6,382,131.78
  5. Step 5: Solve for x
    x = 6,382,131.78/2,737.56
  6. Step 6: Final answer
    x = 2,331.32

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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.