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Finding the Fourth Proportional to 2,787.82, 3,850.98 and 2,232.28

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Solution

The fourth proportional to 2,787.82, 3,850.98 and 2,232.28 is: 3,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.82 : 3,850.98 = 2,232.28 : x
  2. Step 2: Convert to fraction form
    2,787.82/3,850.98 = 2,232.28/x
  3. Step 3: Cross multiply
    2,787.82x = 3,850.98 × 2,232.28
  4. Step 4: Simplify right side
    2,787.82x = 8,596,465.63
  5. Step 5: Solve for x
    x = 8,596,465.63/2,787.82
  6. Step 6: Final answer
    x = 3,083.58

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1.5x scale

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.