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Finding the Fourth Proportional to 1,787.64, 2,682 and 1,204.98

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Solution

The fourth proportional to 1,787.64, 2,682 and 1,204.98 is: 1,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.64 : 2,682 = 1,204.98 : x
  2. Step 2: Convert to fraction form
    1,787.64/2,682 = 1,204.98/x
  3. Step 3: Cross multiply
    1,787.64x = 2,682 × 1,204.98
  4. Step 4: Simplify right side
    1,787.64x = 3,231,756.36
  5. Step 5: Solve for x
    x = 3,231,756.36/1,787.64
  6. Step 6: Final answer
    x = 1,807.83

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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.