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Finding the Fourth Proportional to 2,331.26, 3,494.81 and 870.48

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Solution

The fourth proportional to 2,331.26, 3,494.81 and 870.48 is: 1,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.26 : 3,494.81 = 870.48 : x
  2. Step 2: Convert to fraction form
    2,331.26/3,494.81 = 870.48/x
  3. Step 3: Cross multiply
    2,331.26x = 3,494.81 × 870.48
  4. Step 4: Simplify right side
    2,331.26x = 3,042,162.21
  5. Step 5: Solve for x
    x = 3,042,162.21/2,331.26
  6. Step 6: Final answer
    x = 1,304.94

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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.