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Finding the Fourth Proportional to 2,012.14, 3,017.94 and 551.17

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Solution

The fourth proportional to 2,012.14, 3,017.94 and 551.17 is: 826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.14 : 3,017.94 = 551.17 : x
  2. Step 2: Convert to fraction form
    2,012.14/3,017.94 = 551.17/x
  3. Step 3: Cross multiply
    2,012.14x = 3,017.94 × 551.17
  4. Step 4: Simplify right side
    2,012.14x = 1,663,397.99
  5. Step 5: Solve for x
    x = 1,663,397.99/2,012.14
  6. Step 6: Final answer
    x = 826.68

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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.