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Finding the Fourth Proportional to 2,747, 4,116.36 and 1,650.16

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Solution

The fourth proportional to 2,747, 4,116.36 and 1,650.16 is: 2,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747 : 4,116.36 = 1,650.16 : x
  2. Step 2: Convert to fraction form
    2,747/4,116.36 = 1,650.16/x
  3. Step 3: Cross multiply
    2,747x = 4,116.36 × 1,650.16
  4. Step 4: Simplify right side
    2,747x = 6,792,652.62
  5. Step 5: Solve for x
    x = 6,792,652.62/2,747
  6. Step 6: Final answer
    x = 2,472.75

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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.