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Finding the Fourth Proportional to 2,052.22, 2,833.12 and 1,213.18

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Solution

The fourth proportional to 2,052.22, 2,833.12 and 1,213.18 is: 1,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.22 : 2,833.12 = 1,213.18 : x
  2. Step 2: Convert to fraction form
    2,052.22/2,833.12 = 1,213.18/x
  3. Step 3: Cross multiply
    2,052.22x = 2,833.12 × 1,213.18
  4. Step 4: Simplify right side
    2,052.22x = 3,437,084.52
  5. Step 5: Solve for x
    x = 3,437,084.52/2,052.22
  6. Step 6: Final answer
    x = 1,674.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.