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Finding the Fourth Proportional to 2,467.52, 3,699.84 and 823.62

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Solution

The fourth proportional to 2,467.52, 3,699.84 and 823.62 is: 1,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.52 : 3,699.84 = 823.62 : x
  2. Step 2: Convert to fraction form
    2,467.52/3,699.84 = 823.62/x
  3. Step 3: Cross multiply
    2,467.52x = 3,699.84 × 823.62
  4. Step 4: Simplify right side
    2,467.52x = 3,047,262.22
  5. Step 5: Solve for x
    x = 3,047,262.22/2,467.52
  6. Step 6: Final answer
    x = 1,234.95

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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.