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Finding the Fourth Proportional to 2,288.91, 3,158.90 and 1,294.37

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Solution

The fourth proportional to 2,288.91, 3,158.90 and 1,294.37 is: 1,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.91 : 3,158.90 = 1,294.37 : x
  2. Step 2: Convert to fraction form
    2,288.91/3,158.90 = 1,294.37/x
  3. Step 3: Cross multiply
    2,288.91x = 3,158.90 × 1,294.37
  4. Step 4: Simplify right side
    2,288.91x = 4,088,785.39
  5. Step 5: Solve for x
    x = 4,088,785.39/2,288.91
  6. Step 6: Final answer
    x = 1,786.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.