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Finding the Fourth Proportional to 2,182.74, 3,274.62 and 622.76

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Solution

The fourth proportional to 2,182.74, 3,274.62 and 622.76 is: 934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.74 : 3,274.62 = 622.76 : x
  2. Step 2: Convert to fraction form
    2,182.74/3,274.62 = 622.76/x
  3. Step 3: Cross multiply
    2,182.74x = 3,274.62 × 622.76
  4. Step 4: Simplify right side
    2,182.74x = 2,039,302.35
  5. Step 5: Solve for x
    x = 2,039,302.35/2,182.74
  6. Step 6: Final answer
    x = 934.29

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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.