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Finding the Fourth Proportional to 3,311.88, 4,967.87 and 1,462.61

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Solution

The fourth proportional to 3,311.88, 4,967.87 and 1,462.61 is: 2,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.88 : 4,967.87 = 1,462.61 : x
  2. Step 2: Convert to fraction form
    3,311.88/4,967.87 = 1,462.61/x
  3. Step 3: Cross multiply
    3,311.88x = 4,967.87 × 1,462.61
  4. Step 4: Simplify right side
    3,311.88x = 7,266,024.19
  5. Step 5: Solve for x
    x = 7,266,024.19/3,311.88
  6. Step 6: Final answer
    x = 2,193.93

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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.