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Finding the Fourth Proportional to 3,176.73, 4,764.99 and 985.41

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Solution

The fourth proportional to 3,176.73, 4,764.99 and 985.41 is: 1,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.73 : 4,764.99 = 985.41 : x
  2. Step 2: Convert to fraction form
    3,176.73/4,764.99 = 985.41/x
  3. Step 3: Cross multiply
    3,176.73x = 4,764.99 × 985.41
  4. Step 4: Simplify right side
    3,176.73x = 4,695,468.80
  5. Step 5: Solve for x
    x = 4,695,468.80/3,176.73
  6. Step 6: Final answer
    x = 1,478.08

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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.