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Finding the Fourth Proportional to 2,129.86, 2,932.38 and 2,083.38

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Solution

The fourth proportional to 2,129.86, 2,932.38 and 2,083.38 is: 2,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.86 : 2,932.38 = 2,083.38 : x
  2. Step 2: Convert to fraction form
    2,129.86/2,932.38 = 2,083.38/x
  3. Step 3: Cross multiply
    2,129.86x = 2,932.38 × 2,083.38
  4. Step 4: Simplify right side
    2,129.86x = 6,109,261.84
  5. Step 5: Solve for x
    x = 6,109,261.84/2,129.86
  6. Step 6: Final answer
    x = 2,868.39

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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.