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Finding the Fourth Proportional to 3,322.74, 4,982.91 and 1,101.17

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Solution

The fourth proportional to 3,322.74, 4,982.91 and 1,101.17 is: 1,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.74 : 4,982.91 = 1,101.17 : x
  2. Step 2: Convert to fraction form
    3,322.74/4,982.91 = 1,101.17/x
  3. Step 3: Cross multiply
    3,322.74x = 4,982.91 × 1,101.17
  4. Step 4: Simplify right side
    3,322.74x = 5,487,006.09
  5. Step 5: Solve for x
    x = 5,487,006.09/3,322.74
  6. Step 6: Final answer
    x = 1,651.35

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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.