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Finding the Fourth Proportional to 2,630.82, 3,946.20 and 987.33

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Solution

The fourth proportional to 2,630.82, 3,946.20 and 987.33 is: 1,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.82 : 3,946.20 = 987.33 : x
  2. Step 2: Convert to fraction form
    2,630.82/3,946.20 = 987.33/x
  3. Step 3: Cross multiply
    2,630.82x = 3,946.20 × 987.33
  4. Step 4: Simplify right side
    2,630.82x = 3,896,201.65
  5. Step 5: Solve for x
    x = 3,896,201.65/2,630.82
  6. Step 6: Final answer
    x = 1,480.98

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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.