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Finding the Fourth Proportional to 1,982.33, 2,971.66 and 886.10

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Solution

The fourth proportional to 1,982.33, 2,971.66 and 886.10 is: 1,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.33 : 2,971.66 = 886.10 : x
  2. Step 2: Convert to fraction form
    1,982.33/2,971.66 = 886.10/x
  3. Step 3: Cross multiply
    1,982.33x = 2,971.66 × 886.10
  4. Step 4: Simplify right side
    1,982.33x = 2,633,187.93
  5. Step 5: Solve for x
    x = 2,633,187.93/1,982.33
  6. Step 6: Final answer
    x = 1,328.33

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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.