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Finding the Fourth Proportional to 2,013.84, 3,020.77 and 715.31

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Solution

The fourth proportional to 2,013.84, 3,020.77 and 715.31 is: 1,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.84 : 3,020.77 = 715.31 : x
  2. Step 2: Convert to fraction form
    2,013.84/3,020.77 = 715.31/x
  3. Step 3: Cross multiply
    2,013.84x = 3,020.77 × 715.31
  4. Step 4: Simplify right side
    2,013.84x = 2,160,786.99
  5. Step 5: Solve for x
    x = 2,160,786.99/2,013.84
  6. Step 6: Final answer
    x = 1,072.97

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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.