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Finding the Fourth Proportional to 2,012.76, 3,019.31 and 551.92

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Solution

The fourth proportional to 2,012.76, 3,019.31 and 551.92 is: 827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.76 : 3,019.31 = 551.92 : x
  2. Step 2: Convert to fraction form
    2,012.76/3,019.31 = 551.92/x
  3. Step 3: Cross multiply
    2,012.76x = 3,019.31 × 551.92
  4. Step 4: Simplify right side
    2,012.76x = 1,666,417.58
  5. Step 5: Solve for x
    x = 1,666,417.58/2,012.76
  6. Step 6: Final answer
    x = 827.93

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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.