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Finding the Fourth Proportional to 2,013.20, 3,019.66 and 552.24

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Solution

The fourth proportional to 2,013.20, 3,019.66 and 552.24 is: 828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.20 : 3,019.66 = 552.24 : x
  2. Step 2: Convert to fraction form
    2,013.20/3,019.66 = 552.24/x
  3. Step 3: Cross multiply
    2,013.20x = 3,019.66 × 552.24
  4. Step 4: Simplify right side
    2,013.20x = 1,667,577.04
  5. Step 5: Solve for x
    x = 1,667,577.04/2,013.20
  6. Step 6: Final answer
    x = 828.32

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1.5x scale

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.