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Finding the Fourth Proportional to 1,611.01, 2,222.97 and 948.22

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Solution

The fourth proportional to 1,611.01, 2,222.97 and 948.22 is: 1,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.01 : 2,222.97 = 948.22 : x
  2. Step 2: Convert to fraction form
    1,611.01/2,222.97 = 948.22/x
  3. Step 3: Cross multiply
    1,611.01x = 2,222.97 × 948.22
  4. Step 4: Simplify right side
    1,611.01x = 2,107,864.61
  5. Step 5: Solve for x
    x = 2,107,864.61/1,611.01
  6. Step 6: Final answer
    x = 1,308.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.