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Finding the Fourth Proportional to 2,221.14, 3,329.88 and 922.30

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Solution

The fourth proportional to 2,221.14, 3,329.88 and 922.30 is: 1,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.14 : 3,329.88 = 922.30 : x
  2. Step 2: Convert to fraction form
    2,221.14/3,329.88 = 922.30/x
  3. Step 3: Cross multiply
    2,221.14x = 3,329.88 × 922.30
  4. Step 4: Simplify right side
    2,221.14x = 3,071,148.32
  5. Step 5: Solve for x
    x = 3,071,148.32/2,221.14
  6. Step 6: Final answer
    x = 1,382.69

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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.