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Finding the Fourth Proportional to 2,874.82, 3,965.37 and 2,746.18

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Solution

The fourth proportional to 2,874.82, 3,965.37 and 2,746.18 is: 3,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.82 : 3,965.37 = 2,746.18 : x
  2. Step 2: Convert to fraction form
    2,874.82/3,965.37 = 2,746.18/x
  3. Step 3: Cross multiply
    2,874.82x = 3,965.37 × 2,746.18
  4. Step 4: Simplify right side
    2,874.82x = 10,889,619.79
  5. Step 5: Solve for x
    x = 10,889,619.79/2,874.82
  6. Step 6: Final answer
    x = 3,787.93

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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.