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Finding the Fourth Proportional to 2,748.92, 4,107.56 and 2,255.63

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Solution

The fourth proportional to 2,748.92, 4,107.56 and 2,255.63 is: 3,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.92 : 4,107.56 = 2,255.63 : x
  2. Step 2: Convert to fraction form
    2,748.92/4,107.56 = 2,255.63/x
  3. Step 3: Cross multiply
    2,748.92x = 4,107.56 × 2,255.63
  4. Step 4: Simplify right side
    2,748.92x = 9,265,103.75
  5. Step 5: Solve for x
    x = 9,265,103.75/2,748.92
  6. Step 6: Final answer
    x = 3,370.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.