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Finding the Fourth Proportional to 2,774.26, 3,827.37 and 2,471.28

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Solution

The fourth proportional to 2,774.26, 3,827.37 and 2,471.28 is: 3,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.26 : 3,827.37 = 2,471.28 : x
  2. Step 2: Convert to fraction form
    2,774.26/3,827.37 = 2,471.28/x
  3. Step 3: Cross multiply
    2,774.26x = 3,827.37 × 2,471.28
  4. Step 4: Simplify right side
    2,774.26x = 9,458,502.93
  5. Step 5: Solve for x
    x = 9,458,502.93/2,774.26
  6. Step 6: Final answer
    x = 3,409.38

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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.