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Finding the Fourth Proportional to 2,013.69, 3,020.19 and 532.93

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Solution

The fourth proportional to 2,013.69, 3,020.19 and 532.93 is: 799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.69 : 3,020.19 = 532.93 : x
  2. Step 2: Convert to fraction form
    2,013.69/3,020.19 = 532.93/x
  3. Step 3: Cross multiply
    2,013.69x = 3,020.19 × 532.93
  4. Step 4: Simplify right side
    2,013.69x = 1,609,548.97
  5. Step 5: Solve for x
    x = 1,609,548.97/2,013.69
  6. Step 6: Final answer
    x = 799.30

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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.