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Finding the Fourth Proportional to 2,162.77, 3,244.56 and 701.74

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Solution

The fourth proportional to 2,162.77, 3,244.56 and 701.74 is: 1,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.77 : 3,244.56 = 701.74 : x
  2. Step 2: Convert to fraction form
    2,162.77/3,244.56 = 701.74/x
  3. Step 3: Cross multiply
    2,162.77x = 3,244.56 × 701.74
  4. Step 4: Simplify right side
    2,162.77x = 2,276,837.53
  5. Step 5: Solve for x
    x = 2,276,837.53/2,162.77
  6. Step 6: Final answer
    x = 1,052.74

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1.5x scale

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.