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Finding the Fourth Proportional to 2,005.67, 2,768.19 and 1,475.33

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Solution

The fourth proportional to 2,005.67, 2,768.19 and 1,475.33 is: 2,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.67 : 2,768.19 = 1,475.33 : x
  2. Step 2: Convert to fraction form
    2,005.67/2,768.19 = 1,475.33/x
  3. Step 3: Cross multiply
    2,005.67x = 2,768.19 × 1,475.33
  4. Step 4: Simplify right side
    2,005.67x = 4,083,974.38
  5. Step 5: Solve for x
    x = 4,083,974.38/2,005.67
  6. Step 6: Final answer
    x = 2,036.21

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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.