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Finding the Fourth Proportional to 2,156, 3,228.44 and 1,496.92

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Solution

The fourth proportional to 2,156, 3,228.44 and 1,496.92 is: 2,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156 : 3,228.44 = 1,496.92 : x
  2. Step 2: Convert to fraction form
    2,156/3,228.44 = 1,496.92/x
  3. Step 3: Cross multiply
    2,156x = 3,228.44 × 1,496.92
  4. Step 4: Simplify right side
    2,156x = 4,832,716.40
  5. Step 5: Solve for x
    x = 4,832,716.40/2,156
  6. Step 6: Final answer
    x = 2,241.52

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Why These Related Problems?

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