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Finding the Fourth Proportional to 2,013.06, 3,019.04 and 551.87

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Solution

The fourth proportional to 2,013.06, 3,019.04 and 551.87 is: 827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.06 : 3,019.04 = 551.87 : x
  2. Step 2: Convert to fraction form
    2,013.06/3,019.04 = 551.87/x
  3. Step 3: Cross multiply
    2,013.06x = 3,019.04 × 551.87
  4. Step 4: Simplify right side
    2,013.06x = 1,666,103.89
  5. Step 5: Solve for x
    x = 1,666,103.89/2,013.06
  6. Step 6: Final answer
    x = 827.65

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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.