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Finding the Fourth Proportional to 2,494.51, 3,444.26 and 1,999.87

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Solution

The fourth proportional to 2,494.51, 3,444.26 and 1,999.87 is: 2,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.51 : 3,444.26 = 1,999.87 : x
  2. Step 2: Convert to fraction form
    2,494.51/3,444.26 = 1,999.87/x
  3. Step 3: Cross multiply
    2,494.51x = 3,444.26 × 1,999.87
  4. Step 4: Simplify right side
    2,494.51x = 6,888,072.25
  5. Step 5: Solve for x
    x = 6,888,072.25/2,494.51
  6. Step 6: Final answer
    x = 2,761.29

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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.