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Finding the Fourth Proportional to 2,052.36, 3,069.39 and 1,822.74

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Solution

The fourth proportional to 2,052.36, 3,069.39 and 1,822.74 is: 2,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.36 : 3,069.39 = 1,822.74 : x
  2. Step 2: Convert to fraction form
    2,052.36/3,069.39 = 1,822.74/x
  3. Step 3: Cross multiply
    2,052.36x = 3,069.39 × 1,822.74
  4. Step 4: Simplify right side
    2,052.36x = 5,594,699.93
  5. Step 5: Solve for x
    x = 5,594,699.93/2,052.36
  6. Step 6: Final answer
    x = 2,725.98

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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.