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Finding the Fourth Proportional to 2,753.84, 4,129.94 and 1,022.06

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Solution

The fourth proportional to 2,753.84, 4,129.94 and 1,022.06 is: 1,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.84 : 4,129.94 = 1,022.06 : x
  2. Step 2: Convert to fraction form
    2,753.84/4,129.94 = 1,022.06/x
  3. Step 3: Cross multiply
    2,753.84x = 4,129.94 × 1,022.06
  4. Step 4: Simplify right side
    2,753.84x = 4,221,046.48
  5. Step 5: Solve for x
    x = 4,221,046.48/2,753.84
  6. Step 6: Final answer
    x = 1,532.79

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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.