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Finding the Fourth Proportional to 2,238.48, 3,088.89 and 1,294.19

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Solution

The fourth proportional to 2,238.48, 3,088.89 and 1,294.19 is: 1,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.48 : 3,088.89 = 1,294.19 : x
  2. Step 2: Convert to fraction form
    2,238.48/3,088.89 = 1,294.19/x
  3. Step 3: Cross multiply
    2,238.48x = 3,088.89 × 1,294.19
  4. Step 4: Simplify right side
    2,238.48x = 3,997,624.06
  5. Step 5: Solve for x
    x = 3,997,624.06/2,238.48
  6. Step 6: Final answer
    x = 1,785.87

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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.