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Finding the Fourth Proportional to 2,162.77, 3,243.47 and 701.57

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Solution

The fourth proportional to 2,162.77, 3,243.47 and 701.57 is: 1,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.77 : 3,243.47 = 701.57 : x
  2. Step 2: Convert to fraction form
    2,162.77/3,243.47 = 701.57/x
  3. Step 3: Cross multiply
    2,162.77x = 3,243.47 × 701.57
  4. Step 4: Simplify right side
    2,162.77x = 2,275,525.85
  5. Step 5: Solve for x
    x = 2,275,525.85/2,162.77
  6. Step 6: Final answer
    x = 1,052.14

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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.