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Finding the Fourth Proportional to 2,643.12, 3,643.48 and 2,082.56

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Solution

The fourth proportional to 2,643.12, 3,643.48 and 2,082.56 is: 2,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.12 : 3,643.48 = 2,082.56 : x
  2. Step 2: Convert to fraction form
    2,643.12/3,643.48 = 2,082.56/x
  3. Step 3: Cross multiply
    2,643.12x = 3,643.48 × 2,082.56
  4. Step 4: Simplify right side
    2,643.12x = 7,587,765.71
  5. Step 5: Solve for x
    x = 7,587,765.71/2,643.12
  6. Step 6: Final answer
    x = 2,870.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.