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Finding the Fourth Proportional to 2,082.62, 2,866.70 and 1,885.79

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Solution

The fourth proportional to 2,082.62, 2,866.70 and 1,885.79 is: 2,595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.62 : 2,866.70 = 1,885.79 : x
  2. Step 2: Convert to fraction form
    2,082.62/2,866.70 = 1,885.79/x
  3. Step 3: Cross multiply
    2,082.62x = 2,866.70 × 1,885.79
  4. Step 4: Simplify right side
    2,082.62x = 5,405,970.43
  5. Step 5: Solve for x
    x = 5,405,970.43/2,082.62
  6. Step 6: Final answer
    x = 2,595.76

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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.