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Finding the Fourth Proportional to 2,929.66, 4,396.80 and 1,082.08

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Solution

The fourth proportional to 2,929.66, 4,396.80 and 1,082.08 is: 1,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.66 : 4,396.80 = 1,082.08 : x
  2. Step 2: Convert to fraction form
    2,929.66/4,396.80 = 1,082.08/x
  3. Step 3: Cross multiply
    2,929.66x = 4,396.80 × 1,082.08
  4. Step 4: Simplify right side
    2,929.66x = 4,757,679.64
  5. Step 5: Solve for x
    x = 4,757,679.64/2,929.66
  6. Step 6: Final answer
    x = 1,623.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.