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Finding the Fourth Proportional to 2,296.55, 3,169.42 and 1,288.23

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Solution

The fourth proportional to 2,296.55, 3,169.42 and 1,288.23 is: 1,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.55 : 3,169.42 = 1,288.23 : x
  2. Step 2: Convert to fraction form
    2,296.55/3,169.42 = 1,288.23/x
  3. Step 3: Cross multiply
    2,296.55x = 3,169.42 × 1,288.23
  4. Step 4: Simplify right side
    2,296.55x = 4,082,938.71
  5. Step 5: Solve for x
    x = 4,082,938.71/2,296.55
  6. Step 6: Final answer
    x = 1,777.86

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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.