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Finding the Fourth Proportional to 2,653.14, 3,981.74 and 1,338.21

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Solution

The fourth proportional to 2,653.14, 3,981.74 and 1,338.21 is: 2,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.14 : 3,981.74 = 1,338.21 : x
  2. Step 2: Convert to fraction form
    2,653.14/3,981.74 = 1,338.21/x
  3. Step 3: Cross multiply
    2,653.14x = 3,981.74 × 1,338.21
  4. Step 4: Simplify right side
    2,653.14x = 5,328,404.29
  5. Step 5: Solve for x
    x = 5,328,404.29/2,653.14
  6. Step 6: Final answer
    x = 2,008.34

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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.