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Finding the Fourth Proportional to 7,228.34, 10,841.30 and 2,033

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Solution

The fourth proportional to 7,228.34, 10,841.30 and 2,033 is: 3,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.34 : 10,841.30 = 2,033 : x
  2. Step 2: Convert to fraction form
    7,228.34/10,841.30 = 2,033/x
  3. Step 3: Cross multiply
    7,228.34x = 10,841.30 × 2,033
  4. Step 4: Simplify right side
    7,228.34x = 22,040,362.90
  5. Step 5: Solve for x
    x = 22,040,362.90/7,228.34
  6. Step 6: Final answer
    x = 3,049.16

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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.