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Finding the Fourth Proportional to 3,068.34, 4,601.16 and 2,082.84

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Solution

The fourth proportional to 3,068.34, 4,601.16 and 2,082.84 is: 3,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.34 : 4,601.16 = 2,082.84 : x
  2. Step 2: Convert to fraction form
    3,068.34/4,601.16 = 2,082.84/x
  3. Step 3: Cross multiply
    3,068.34x = 4,601.16 × 2,082.84
  4. Step 4: Simplify right side
    3,068.34x = 9,583,480.09
  5. Step 5: Solve for x
    x = 9,583,480.09/3,068.34
  6. Step 6: Final answer
    x = 3,123.34

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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.