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Finding the Fourth Proportional to 2,269.72, 3,406.97 and 2,011.38

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Solution

The fourth proportional to 2,269.72, 3,406.97 and 2,011.38 is: 3,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.72 : 3,406.97 = 2,011.38 : x
  2. Step 2: Convert to fraction form
    2,269.72/3,406.97 = 2,011.38/x
  3. Step 3: Cross multiply
    2,269.72x = 3,406.97 × 2,011.38
  4. Step 4: Simplify right side
    2,269.72x = 6,852,684.23
  5. Step 5: Solve for x
    x = 6,852,684.23/2,269.72
  6. Step 6: Final answer
    x = 3,019.18

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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.