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Finding the Fourth Proportional to 3,082.82, 4,254.77 and 1,964.25

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Solution

The fourth proportional to 3,082.82, 4,254.77 and 1,964.25 is: 2,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.82 : 4,254.77 = 1,964.25 : x
  2. Step 2: Convert to fraction form
    3,082.82/4,254.77 = 1,964.25/x
  3. Step 3: Cross multiply
    3,082.82x = 4,254.77 × 1,964.25
  4. Step 4: Simplify right side
    3,082.82x = 8,357,436.88
  5. Step 5: Solve for x
    x = 8,357,436.88/3,082.82
  6. Step 6: Final answer
    x = 2,710.98

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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.