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Finding the Fourth Proportional to 2,863.16, 4,289.50 and 2,403.88

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Solution

The fourth proportional to 2,863.16, 4,289.50 and 2,403.88 is: 3,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.16 : 4,289.50 = 2,403.88 : x
  2. Step 2: Convert to fraction form
    2,863.16/4,289.50 = 2,403.88/x
  3. Step 3: Cross multiply
    2,863.16x = 4,289.50 × 2,403.88
  4. Step 4: Simplify right side
    2,863.16x = 10,311,443.26
  5. Step 5: Solve for x
    x = 10,311,443.26/2,863.16
  6. Step 6: Final answer
    x = 3,601.42

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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.