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Finding the Fourth Proportional to 3,146.91, 4,342.95 and 2,082.84

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Solution

The fourth proportional to 3,146.91, 4,342.95 and 2,082.84 is: 2,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.91 : 4,342.95 = 2,082.84 : x
  2. Step 2: Convert to fraction form
    3,146.91/4,342.95 = 2,082.84/x
  3. Step 3: Cross multiply
    3,146.91x = 4,342.95 × 2,082.84
  4. Step 4: Simplify right side
    3,146.91x = 9,045,669.98
  5. Step 5: Solve for x
    x = 9,045,669.98/3,146.91
  6. Step 6: Final answer
    x = 2,874.46

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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.