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Finding the Fourth Proportional to 2,182.92, 3,274.86 and 722.01

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Solution

The fourth proportional to 2,182.92, 3,274.86 and 722.01 is: 1,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.92 : 3,274.86 = 722.01 : x
  2. Step 2: Convert to fraction form
    2,182.92/3,274.86 = 722.01/x
  3. Step 3: Cross multiply
    2,182.92x = 3,274.86 × 722.01
  4. Step 4: Simplify right side
    2,182.92x = 2,364,481.67
  5. Step 5: Solve for x
    x = 2,364,481.67/2,182.92
  6. Step 6: Final answer
    x = 1,083.17

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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.