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Finding the Fourth Proportional to 2,013.14, 3,019.71 and 552.31

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Solution

The fourth proportional to 2,013.14, 3,019.71 and 552.31 is: 828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.14 : 3,019.71 = 552.31 : x
  2. Step 2: Convert to fraction form
    2,013.14/3,019.71 = 552.31/x
  3. Step 3: Cross multiply
    2,013.14x = 3,019.71 × 552.31
  4. Step 4: Simplify right side
    2,013.14x = 1,667,816.03
  5. Step 5: Solve for x
    x = 1,667,816.03/2,013.14
  6. Step 6: Final answer
    x = 828.47

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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.