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Finding the Fourth Proportional to 3,176.67, 4,765.05 and 985.39

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Solution

The fourth proportional to 3,176.67, 4,765.05 and 985.39 is: 1,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.67 : 4,765.05 = 985.39 : x
  2. Step 2: Convert to fraction form
    3,176.67/4,765.05 = 985.39/x
  3. Step 3: Cross multiply
    3,176.67x = 4,765.05 × 985.39
  4. Step 4: Simplify right side
    3,176.67x = 4,695,432.62
  5. Step 5: Solve for x
    x = 4,695,432.62/3,176.67
  6. Step 6: Final answer
    x = 1,478.10

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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.