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Finding the Fourth Proportional to 3,176.80, 4,765.38 and 985.84

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Solution

The fourth proportional to 3,176.80, 4,765.38 and 985.84 is: 1,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.80 : 4,765.38 = 985.84 : x
  2. Step 2: Convert to fraction form
    3,176.80/4,765.38 = 985.84/x
  3. Step 3: Cross multiply
    3,176.80x = 4,765.38 × 985.84
  4. Step 4: Simplify right side
    3,176.80x = 4,697,902.22
  5. Step 5: Solve for x
    x = 4,697,902.22/3,176.80
  6. Step 6: Final answer
    x = 1,478.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.