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Finding the Fourth Proportional to 3,468.87, 4,787.01 and 1,896.98

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Solution

The fourth proportional to 3,468.87, 4,787.01 and 1,896.98 is: 2,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.87 : 4,787.01 = 1,896.98 : x
  2. Step 2: Convert to fraction form
    3,468.87/4,787.01 = 1,896.98/x
  3. Step 3: Cross multiply
    3,468.87x = 4,787.01 × 1,896.98
  4. Step 4: Simplify right side
    3,468.87x = 9,080,838.29
  5. Step 5: Solve for x
    x = 9,080,838.29/3,468.87
  6. Step 6: Final answer
    x = 2,617.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.