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Finding the Fourth Proportional to 3,311.91, 4,967.87 and 1,666.80

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Solution

The fourth proportional to 3,311.91, 4,967.87 and 1,666.80 is: 2,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.91 : 4,967.87 = 1,666.80 : x
  2. Step 2: Convert to fraction form
    3,311.91/4,967.87 = 1,666.80/x
  3. Step 3: Cross multiply
    3,311.91x = 4,967.87 × 1,666.80
  4. Step 4: Simplify right side
    3,311.91x = 8,280,437.38
  5. Step 5: Solve for x
    x = 8,280,437.38/3,311.91
  6. Step 6: Final answer
    x = 2,500.20

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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.