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Finding the Fourth Proportional to 2,288.92, 3,158.54 and 1,294.30

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Solution

The fourth proportional to 2,288.92, 3,158.54 and 1,294.30 is: 1,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.92 : 3,158.54 = 1,294.30 : x
  2. Step 2: Convert to fraction form
    2,288.92/3,158.54 = 1,294.30/x
  3. Step 3: Cross multiply
    2,288.92x = 3,158.54 × 1,294.30
  4. Step 4: Simplify right side
    2,288.92x = 4,088,098.32
  5. Step 5: Solve for x
    x = 4,088,098.32/2,288.92
  6. Step 6: Final answer
    x = 1,786.04

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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.