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Finding the Fourth Proportional to 2,013.14, 3,019.72 and 552.32

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Solution

The fourth proportional to 2,013.14, 3,019.72 and 552.32 is: 828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.14 : 3,019.72 = 552.32 : x
  2. Step 2: Convert to fraction form
    2,013.14/3,019.72 = 552.32/x
  3. Step 3: Cross multiply
    2,013.14x = 3,019.72 × 552.32
  4. Step 4: Simplify right side
    2,013.14x = 1,667,851.75
  5. Step 5: Solve for x
    x = 1,667,851.75/2,013.14
  6. Step 6: Final answer
    x = 828.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.