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Finding the Fourth Proportional to 2,734.86, 3,774.11 and 1,616.20

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Solution

The fourth proportional to 2,734.86, 3,774.11 and 1,616.20 is: 2,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.86 : 3,774.11 = 1,616.20 : x
  2. Step 2: Convert to fraction form
    2,734.86/3,774.11 = 1,616.20/x
  3. Step 3: Cross multiply
    2,734.86x = 3,774.11 × 1,616.20
  4. Step 4: Simplify right side
    2,734.86x = 6,099,729.39
  5. Step 5: Solve for x
    x = 6,099,729.39/2,734.86
  6. Step 6: Final answer
    x = 2,230.36

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1.5x scale

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.