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Finding the Fourth Proportional to 3,176.25, 4,764.82 and 985.16

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Solution

The fourth proportional to 3,176.25, 4,764.82 and 985.16 is: 1,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.25 : 4,764.82 = 985.16 : x
  2. Step 2: Convert to fraction form
    3,176.25/4,764.82 = 985.16/x
  3. Step 3: Cross multiply
    3,176.25x = 4,764.82 × 985.16
  4. Step 4: Simplify right side
    3,176.25x = 4,694,110.07
  5. Step 5: Solve for x
    x = 4,694,110.07/3,176.25
  6. Step 6: Final answer
    x = 1,477.88

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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.