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Finding the Fourth Proportional to 2,288.76, 3,158.30 and 1,294.14

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Solution

The fourth proportional to 2,288.76, 3,158.30 and 1,294.14 is: 1,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.76 : 3,158.30 = 1,294.14 : x
  2. Step 2: Convert to fraction form
    2,288.76/3,158.30 = 1,294.14/x
  3. Step 3: Cross multiply
    2,288.76x = 3,158.30 × 1,294.14
  4. Step 4: Simplify right side
    2,288.76x = 4,087,282.36
  5. Step 5: Solve for x
    x = 4,087,282.36/2,288.76
  6. Step 6: Final answer
    x = 1,785.81

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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.