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Finding the Fourth Proportional to 2,238.59, 3,089.65 and 1,294.25

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Solution

The fourth proportional to 2,238.59, 3,089.65 and 1,294.25 is: 1,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.59 : 3,089.65 = 1,294.25 : x
  2. Step 2: Convert to fraction form
    2,238.59/3,089.65 = 1,294.25/x
  3. Step 3: Cross multiply
    2,238.59x = 3,089.65 × 1,294.25
  4. Step 4: Simplify right side
    2,238.59x = 3,998,779.51
  5. Step 5: Solve for x
    x = 3,998,779.51/2,238.59
  6. Step 6: Final answer
    x = 1,786.29

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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.