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Finding the Fourth Proportional to 2,963.92, 4,446.52 and 1,869.68

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Solution

The fourth proportional to 2,963.92, 4,446.52 and 1,869.68 is: 2,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.92 : 4,446.52 = 1,869.68 : x
  2. Step 2: Convert to fraction form
    2,963.92/4,446.52 = 1,869.68/x
  3. Step 3: Cross multiply
    2,963.92x = 4,446.52 × 1,869.68
  4. Step 4: Simplify right side
    2,963.92x = 8,313,569.51
  5. Step 5: Solve for x
    x = 8,313,569.51/2,963.92
  6. Step 6: Final answer
    x = 2,804.92

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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.