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Finding the Fourth Proportional to 2,734.08, 3,776.16 and 2,497.44

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Solution

The fourth proportional to 2,734.08, 3,776.16 and 2,497.44 is: 3,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.08 : 3,776.16 = 2,497.44 : x
  2. Step 2: Convert to fraction form
    2,734.08/3,776.16 = 2,497.44/x
  3. Step 3: Cross multiply
    2,734.08x = 3,776.16 × 2,497.44
  4. Step 4: Simplify right side
    2,734.08x = 9,430,733.03
  5. Step 5: Solve for x
    x = 9,430,733.03/2,734.08
  6. Step 6: Final answer
    x = 3,449.33

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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.