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Finding the Fourth Proportional to 2,546.54, 3,818.64 and 987.29

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Solution

The fourth proportional to 2,546.54, 3,818.64 and 987.29 is: 1,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.54 : 3,818.64 = 987.29 : x
  2. Step 2: Convert to fraction form
    2,546.54/3,818.64 = 987.29/x
  3. Step 3: Cross multiply
    2,546.54x = 3,818.64 × 987.29
  4. Step 4: Simplify right side
    2,546.54x = 3,770,104.01
  5. Step 5: Solve for x
    x = 3,770,104.01/2,546.54
  6. Step 6: Final answer
    x = 1,480.48

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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.