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Finding the Fourth Proportional to 2,012.31, 3,018.46 and 551.58

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Solution

The fourth proportional to 2,012.31, 3,018.46 and 551.58 is: 827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.31 : 3,018.46 = 551.58 : x
  2. Step 2: Convert to fraction form
    2,012.31/3,018.46 = 551.58/x
  3. Step 3: Cross multiply
    2,012.31x = 3,018.46 × 551.58
  4. Step 4: Simplify right side
    2,012.31x = 1,664,904.32
  5. Step 5: Solve for x
    x = 1,664,904.32/2,012.31
  6. Step 6: Final answer
    x = 827.36

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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.