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Finding the Fourth Proportional to 2,303.96, 3,171.68 and 2,082.24

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Solution

The fourth proportional to 2,303.96, 3,171.68 and 2,082.24 is: 2,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.96 : 3,171.68 = 2,082.24 : x
  2. Step 2: Convert to fraction form
    2,303.96/3,171.68 = 2,082.24/x
  3. Step 3: Cross multiply
    2,303.96x = 3,171.68 × 2,082.24
  4. Step 4: Simplify right side
    2,303.96x = 6,604,198.96
  5. Step 5: Solve for x
    x = 6,604,198.96/2,303.96
  6. Step 6: Final answer
    x = 2,866.46

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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.