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Finding the Fourth Proportional to 3,082.16, 4,254.78 and 1,964.63

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Solution

The fourth proportional to 3,082.16, 4,254.78 and 1,964.63 is: 2,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.16 : 4,254.78 = 1,964.63 : x
  2. Step 2: Convert to fraction form
    3,082.16/4,254.78 = 1,964.63/x
  3. Step 3: Cross multiply
    3,082.16x = 4,254.78 × 1,964.63
  4. Step 4: Simplify right side
    3,082.16x = 8,359,047.16
  5. Step 5: Solve for x
    x = 8,359,047.16/3,082.16
  6. Step 6: Final answer
    x = 2,712.08

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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.