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Finding the Fourth Proportional to 2,721.84, 4,082.67 and 1,182.84

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Solution

The fourth proportional to 2,721.84, 4,082.67 and 1,182.84 is: 1,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.84 : 4,082.67 = 1,182.84 : x
  2. Step 2: Convert to fraction form
    2,721.84/4,082.67 = 1,182.84/x
  3. Step 3: Cross multiply
    2,721.84x = 4,082.67 × 1,182.84
  4. Step 4: Simplify right side
    2,721.84x = 4,829,145.38
  5. Step 5: Solve for x
    x = 4,829,145.38/2,721.84
  6. Step 6: Final answer
    x = 1,774.22

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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.