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Finding the Fourth Proportional to 1,611.84, 2,416.86 and 638.22

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Solution

The fourth proportional to 1,611.84, 2,416.86 and 638.22 is: 956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.84 : 2,416.86 = 638.22 : x
  2. Step 2: Convert to fraction form
    1,611.84/2,416.86 = 638.22/x
  3. Step 3: Cross multiply
    1,611.84x = 2,416.86 × 638.22
  4. Step 4: Simplify right side
    1,611.84x = 1,542,488.39
  5. Step 5: Solve for x
    x = 1,542,488.39/1,611.84
  6. Step 6: Final answer
    x = 956.97

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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.