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Finding the Fourth Proportional to 2,734.32, 4,101.55 and 979.45

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Solution

The fourth proportional to 2,734.32, 4,101.55 and 979.45 is: 1,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.32 : 4,101.55 = 979.45 : x
  2. Step 2: Convert to fraction form
    2,734.32/4,101.55 = 979.45/x
  3. Step 3: Cross multiply
    2,734.32x = 4,101.55 × 979.45
  4. Step 4: Simplify right side
    2,734.32x = 4,017,237.74
  5. Step 5: Solve for x
    x = 4,017,237.74/2,734.32
  6. Step 6: Final answer
    x = 1,469.19

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1.5x scale

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.