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Finding the Fourth Proportional to 2,465.67, 3,694.32 and 2,154.09

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Solution

The fourth proportional to 2,465.67, 3,694.32 and 2,154.09 is: 3,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.67 : 3,694.32 = 2,154.09 : x
  2. Step 2: Convert to fraction form
    2,465.67/3,694.32 = 2,154.09/x
  3. Step 3: Cross multiply
    2,465.67x = 3,694.32 × 2,154.09
  4. Step 4: Simplify right side
    2,465.67x = 7,957,897.77
  5. Step 5: Solve for x
    x = 7,957,897.77/2,465.67
  6. Step 6: Final answer
    x = 3,227.48

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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.