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Finding the Fourth Proportional to 1,894.32, 2,841.67 and 724.31

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Solution

The fourth proportional to 1,894.32, 2,841.67 and 724.31 is: 1,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.32 : 2,841.67 = 724.31 : x
  2. Step 2: Convert to fraction form
    1,894.32/2,841.67 = 724.31/x
  3. Step 3: Cross multiply
    1,894.32x = 2,841.67 × 724.31
  4. Step 4: Simplify right side
    1,894.32x = 2,058,258.01
  5. Step 5: Solve for x
    x = 2,058,258.01/1,894.32
  6. Step 6: Final answer
    x = 1,086.54

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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.