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Finding the Fourth Proportional to 2,725.32, 3,761.02 and 2,134.82

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Solution

The fourth proportional to 2,725.32, 3,761.02 and 2,134.82 is: 2,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.32 : 3,761.02 = 2,134.82 : x
  2. Step 2: Convert to fraction form
    2,725.32/3,761.02 = 2,134.82/x
  3. Step 3: Cross multiply
    2,725.32x = 3,761.02 × 2,134.82
  4. Step 4: Simplify right side
    2,725.32x = 8,029,100.72
  5. Step 5: Solve for x
    x = 8,029,100.72/2,725.32
  6. Step 6: Final answer
    x = 2,946.11

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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.