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Finding the Fourth Proportional to 1,857.31, 2,787.32 and 1,496.46

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Solution

The fourth proportional to 1,857.31, 2,787.32 and 1,496.46 is: 2,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.31 : 2,787.32 = 1,496.46 : x
  2. Step 2: Convert to fraction form
    1,857.31/2,787.32 = 1,496.46/x
  3. Step 3: Cross multiply
    1,857.31x = 2,787.32 × 1,496.46
  4. Step 4: Simplify right side
    1,857.31x = 4,171,112.89
  5. Step 5: Solve for x
    x = 4,171,112.89/1,857.31
  6. Step 6: Final answer
    x = 2,245.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.