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Finding the Fourth Proportional to 2,863.92, 4,295.64 and 1,132.08

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Solution

The fourth proportional to 2,863.92, 4,295.64 and 1,132.08 is: 1,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.92 : 4,295.64 = 1,132.08 : x
  2. Step 2: Convert to fraction form
    2,863.92/4,295.64 = 1,132.08/x
  3. Step 3: Cross multiply
    2,863.92x = 4,295.64 × 1,132.08
  4. Step 4: Simplify right side
    2,863.92x = 4,863,008.13
  5. Step 5: Solve for x
    x = 4,863,008.13/2,863.92
  6. Step 6: Final answer
    x = 1,698.03

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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.