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Finding the Fourth Proportional to 2,013.98, 3,021.42 and 715.56

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Solution

The fourth proportional to 2,013.98, 3,021.42 and 715.56 is: 1,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.98 : 3,021.42 = 715.56 : x
  2. Step 2: Convert to fraction form
    2,013.98/3,021.42 = 715.56/x
  3. Step 3: Cross multiply
    2,013.98x = 3,021.42 × 715.56
  4. Step 4: Simplify right side
    2,013.98x = 2,162,007.30
  5. Step 5: Solve for x
    x = 2,162,007.30/2,013.98
  6. Step 6: Final answer
    x = 1,073.50

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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.