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Finding the Fourth Proportional to 2,162.65, 3,244.62 and 701.77

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Solution

The fourth proportional to 2,162.65, 3,244.62 and 701.77 is: 1,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.65 : 3,244.62 = 701.77 : x
  2. Step 2: Convert to fraction form
    2,162.65/3,244.62 = 701.77/x
  3. Step 3: Cross multiply
    2,162.65x = 3,244.62 × 701.77
  4. Step 4: Simplify right side
    2,162.65x = 2,276,976.98
  5. Step 5: Solve for x
    x = 2,276,976.98/2,162.65
  6. Step 6: Final answer
    x = 1,052.86

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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.