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Finding the Fourth Proportional to 2,349, 3,244.79 and 2,182.95

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Solution

The fourth proportional to 2,349, 3,244.79 and 2,182.95 is: 3,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349 : 3,244.79 = 2,182.95 : x
  2. Step 2: Convert to fraction form
    2,349/3,244.79 = 2,182.95/x
  3. Step 3: Cross multiply
    2,349x = 3,244.79 × 2,182.95
  4. Step 4: Simplify right side
    2,349x = 7,083,214.33
  5. Step 5: Solve for x
    x = 7,083,214.33/2,349
  6. Step 6: Final answer
    x = 3,015.42

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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.