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Finding the Fourth Proportional to 2,288.81, 3,158.54 and 1,294.09

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Solution

The fourth proportional to 2,288.81, 3,158.54 and 1,294.09 is: 1,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.81 : 3,158.54 = 1,294.09 : x
  2. Step 2: Convert to fraction form
    2,288.81/3,158.54 = 1,294.09/x
  3. Step 3: Cross multiply
    2,288.81x = 3,158.54 × 1,294.09
  4. Step 4: Simplify right side
    2,288.81x = 4,087,419.24
  5. Step 5: Solve for x
    x = 4,087,419.24/2,288.81
  6. Step 6: Final answer
    x = 1,785.83

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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.