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Finding the Fourth Proportional to 2,468.18, 3,699.68 and 1,150.84

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Solution

The fourth proportional to 2,468.18, 3,699.68 and 1,150.84 is: 1,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.18 : 3,699.68 = 1,150.84 : x
  2. Step 2: Convert to fraction form
    2,468.18/3,699.68 = 1,150.84/x
  3. Step 3: Cross multiply
    2,468.18x = 3,699.68 × 1,150.84
  4. Step 4: Simplify right side
    2,468.18x = 4,257,739.73
  5. Step 5: Solve for x
    x = 4,257,739.73/2,468.18
  6. Step 6: Final answer
    x = 1,725.05

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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.