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Finding the Fourth Proportional to 2,013.14, 3,019.44 and 552.18

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Solution

The fourth proportional to 2,013.14, 3,019.44 and 552.18 is: 828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.14 : 3,019.44 = 552.18 : x
  2. Step 2: Convert to fraction form
    2,013.14/3,019.44 = 552.18/x
  3. Step 3: Cross multiply
    2,013.14x = 3,019.44 × 552.18
  4. Step 4: Simplify right side
    2,013.14x = 1,667,274.38
  5. Step 5: Solve for x
    x = 1,667,274.38/2,013.14
  6. Step 6: Final answer
    x = 828.20

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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.