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Finding the Fourth Proportional to 2,013.92, 3,021.44 and 715.52

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Solution

The fourth proportional to 2,013.92, 3,021.44 and 715.52 is: 1,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.92 : 3,021.44 = 715.52 : x
  2. Step 2: Convert to fraction form
    2,013.92/3,021.44 = 715.52/x
  3. Step 3: Cross multiply
    2,013.92x = 3,021.44 × 715.52
  4. Step 4: Simplify right side
    2,013.92x = 2,161,900.75
  5. Step 5: Solve for x
    x = 2,161,900.75/2,013.92
  6. Step 6: Final answer
    x = 1,073.48

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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.