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Finding the Fourth Proportional to 2,958.52, 4,082.84 and 1,632.16

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Solution

The fourth proportional to 2,958.52, 4,082.84 and 1,632.16 is: 2,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.52 : 4,082.84 = 1,632.16 : x
  2. Step 2: Convert to fraction form
    2,958.52/4,082.84 = 1,632.16/x
  3. Step 3: Cross multiply
    2,958.52x = 4,082.84 × 1,632.16
  4. Step 4: Simplify right side
    2,958.52x = 6,663,848.13
  5. Step 5: Solve for x
    x = 6,663,848.13/2,958.52
  6. Step 6: Final answer
    x = 2,252.43

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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.