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Finding the Fourth Proportional to 2,354.25, 3,531.47 and 794.31

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Solution

The fourth proportional to 2,354.25, 3,531.47 and 794.31 is: 1,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.25 : 3,531.47 = 794.31 : x
  2. Step 2: Convert to fraction form
    2,354.25/3,531.47 = 794.31/x
  3. Step 3: Cross multiply
    2,354.25x = 3,531.47 × 794.31
  4. Step 4: Simplify right side
    2,354.25x = 2,805,081.94
  5. Step 5: Solve for x
    x = 2,805,081.94/2,354.25
  6. Step 6: Final answer
    x = 1,191.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.