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Finding the Fourth Proportional to 2,288.99, 3,158.78 and 1,294.24

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Solution

The fourth proportional to 2,288.99, 3,158.78 and 1,294.24 is: 1,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.99 : 3,158.78 = 1,294.24 : x
  2. Step 2: Convert to fraction form
    2,288.99/3,158.78 = 1,294.24/x
  3. Step 3: Cross multiply
    2,288.99x = 3,158.78 × 1,294.24
  4. Step 4: Simplify right side
    2,288.99x = 4,088,214.77
  5. Step 5: Solve for x
    x = 4,088,214.77/2,288.99
  6. Step 6: Final answer
    x = 1,786.03

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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.