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Finding the Fourth Proportional to 2,013.38, 3,019.86 and 552.48

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Solution

The fourth proportional to 2,013.38, 3,019.86 and 552.48 is: 828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.38 : 3,019.86 = 552.48 : x
  2. Step 2: Convert to fraction form
    2,013.38/3,019.86 = 552.48/x
  3. Step 3: Cross multiply
    2,013.38x = 3,019.86 × 552.48
  4. Step 4: Simplify right side
    2,013.38x = 1,668,412.25
  5. Step 5: Solve for x
    x = 1,668,412.25/2,013.38
  6. Step 6: Final answer
    x = 828.66

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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.