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Finding the Fourth Proportional to 2,774.98, 3,827.71 and 2,110.37

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Solution

The fourth proportional to 2,774.98, 3,827.71 and 2,110.37 is: 2,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.98 : 3,827.71 = 2,110.37 : x
  2. Step 2: Convert to fraction form
    2,774.98/3,827.71 = 2,110.37/x
  3. Step 3: Cross multiply
    2,774.98x = 3,827.71 × 2,110.37
  4. Step 4: Simplify right side
    2,774.98x = 8,077,888.65
  5. Step 5: Solve for x
    x = 8,077,888.65/2,774.98
  6. Step 6: Final answer
    x = 2,910.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.