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Finding the Fourth Proportional to 2,468.58, 3,699.67 and 1,167.38

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Solution

The fourth proportional to 2,468.58, 3,699.67 and 1,167.38 is: 1,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.58 : 3,699.67 = 1,167.38 : x
  2. Step 2: Convert to fraction form
    2,468.58/3,699.67 = 1,167.38/x
  3. Step 3: Cross multiply
    2,468.58x = 3,699.67 × 1,167.38
  4. Step 4: Simplify right side
    2,468.58x = 4,318,920.76
  5. Step 5: Solve for x
    x = 4,318,920.76/2,468.58
  6. Step 6: Final answer
    x = 1,749.56

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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.