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Finding the Fourth Proportional to 3,082.73, 4,252.62 and 1,823.16

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Solution

The fourth proportional to 3,082.73, 4,252.62 and 1,823.16 is: 2,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.73 : 4,252.62 = 1,823.16 : x
  2. Step 2: Convert to fraction form
    3,082.73/4,252.62 = 1,823.16/x
  3. Step 3: Cross multiply
    3,082.73x = 4,252.62 × 1,823.16
  4. Step 4: Simplify right side
    3,082.73x = 7,753,206.68
  5. Step 5: Solve for x
    x = 7,753,206.68/3,082.73
  6. Step 6: Final answer
    x = 2,515.05

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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.