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Finding the Fourth Proportional to 2,296.30, 3,169.04 and 1,288.10

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Solution

The fourth proportional to 2,296.30, 3,169.04 and 1,288.10 is: 1,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.30 : 3,169.04 = 1,288.10 : x
  2. Step 2: Convert to fraction form
    2,296.30/3,169.04 = 1,288.10/x
  3. Step 3: Cross multiply
    2,296.30x = 3,169.04 × 1,288.10
  4. Step 4: Simplify right side
    2,296.30x = 4,082,040.42
  5. Step 5: Solve for x
    x = 4,082,040.42/2,296.30
  6. Step 6: Final answer
    x = 1,777.66

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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.