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Finding the Fourth Proportional to 3,298.46, 4,946.16 and 1,912.20

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Solution

The fourth proportional to 3,298.46, 4,946.16 and 1,912.20 is: 2,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.46 : 4,946.16 = 1,912.20 : x
  2. Step 2: Convert to fraction form
    3,298.46/4,946.16 = 1,912.20/x
  3. Step 3: Cross multiply
    3,298.46x = 4,946.16 × 1,912.20
  4. Step 4: Simplify right side
    3,298.46x = 9,458,012.86
  5. Step 5: Solve for x
    x = 9,458,012.86/3,298.46
  6. Step 6: Final answer
    x = 2,867.40

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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.