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Finding the Fourth Proportional to 2,282.73, 3,424.10 and 551.35

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Solution

The fourth proportional to 2,282.73, 3,424.10 and 551.35 is: 827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.73 : 3,424.10 = 551.35 : x
  2. Step 2: Convert to fraction form
    2,282.73/3,424.10 = 551.35/x
  3. Step 3: Cross multiply
    2,282.73x = 3,424.10 × 551.35
  4. Step 4: Simplify right side
    2,282.73x = 1,887,889.00
  5. Step 5: Solve for x
    x = 1,887,889.00/2,282.73
  6. Step 6: Final answer
    x = 827.03

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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.