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Finding the Fourth Proportional to 2,196.52, 3,033.23 and 1,411.92

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Solution

The fourth proportional to 2,196.52, 3,033.23 and 1,411.92 is: 1,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.52 : 3,033.23 = 1,411.92 : x
  2. Step 2: Convert to fraction form
    2,196.52/3,033.23 = 1,411.92/x
  3. Step 3: Cross multiply
    2,196.52x = 3,033.23 × 1,411.92
  4. Step 4: Simplify right side
    2,196.52x = 4,282,671.04
  5. Step 5: Solve for x
    x = 4,282,671.04/2,196.52
  6. Step 6: Final answer
    x = 1,949.76

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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.