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Finding the Fourth Proportional to 2,787.94, 3,847.47 and 1,529.11

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Solution

The fourth proportional to 2,787.94, 3,847.47 and 1,529.11 is: 2,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.94 : 3,847.47 = 1,529.11 : x
  2. Step 2: Convert to fraction form
    2,787.94/3,847.47 = 1,529.11/x
  3. Step 3: Cross multiply
    2,787.94x = 3,847.47 × 1,529.11
  4. Step 4: Simplify right side
    2,787.94x = 5,883,203.93
  5. Step 5: Solve for x
    x = 5,883,203.93/2,787.94
  6. Step 6: Final answer
    x = 2,110.23

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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.