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Finding the Fourth Proportional to 3,454.28, 4,767.02 and 1,962.14

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Solution

The fourth proportional to 3,454.28, 4,767.02 and 1,962.14 is: 2,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.28 : 4,767.02 = 1,962.14 : x
  2. Step 2: Convert to fraction form
    3,454.28/4,767.02 = 1,962.14/x
  3. Step 3: Cross multiply
    3,454.28x = 4,767.02 × 1,962.14
  4. Step 4: Simplify right side
    3,454.28x = 9,353,570.09
  5. Step 5: Solve for x
    x = 9,353,570.09/3,454.28
  6. Step 6: Final answer
    x = 2,707.82

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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.