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Finding the Fourth Proportional to 2,226.81, 3,342.65 and 1,253.19

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Solution

The fourth proportional to 2,226.81, 3,342.65 and 1,253.19 is: 1,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.81 : 3,342.65 = 1,253.19 : x
  2. Step 2: Convert to fraction form
    2,226.81/3,342.65 = 1,253.19/x
  3. Step 3: Cross multiply
    2,226.81x = 3,342.65 × 1,253.19
  4. Step 4: Simplify right side
    2,226.81x = 4,188,969.29
  5. Step 5: Solve for x
    x = 4,188,969.29/2,226.81
  6. Step 6: Final answer
    x = 1,881.15

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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.