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Finding the Fourth Proportional to 3,168.76, 4,754.74 and 1,414.30

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Solution

The fourth proportional to 3,168.76, 4,754.74 and 1,414.30 is: 2,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.76 : 4,754.74 = 1,414.30 : x
  2. Step 2: Convert to fraction form
    3,168.76/4,754.74 = 1,414.30/x
  3. Step 3: Cross multiply
    3,168.76x = 4,754.74 × 1,414.30
  4. Step 4: Simplify right side
    3,168.76x = 6,724,628.78
  5. Step 5: Solve for x
    x = 6,724,628.78/3,168.76
  6. Step 6: Final answer
    x = 2,122.16

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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.