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Finding the Fourth Proportional to 3,311.70, 4,967.55 and 1,365.30

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Solution

The fourth proportional to 3,311.70, 4,967.55 and 1,365.30 is: 2,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.70 : 4,967.55 = 1,365.30 : x
  2. Step 2: Convert to fraction form
    3,311.70/4,967.55 = 1,365.30/x
  3. Step 3: Cross multiply
    3,311.70x = 4,967.55 × 1,365.30
  4. Step 4: Simplify right side
    3,311.70x = 6,782,196.02
  5. Step 5: Solve for x
    x = 6,782,196.02/3,311.70
  6. Step 6: Final answer
    x = 2,047.95

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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.