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Finding the Fourth Proportional to 2,863.00, 4,294.46 and 1,613.68

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Solution

The fourth proportional to 2,863.00, 4,294.46 and 1,613.68 is: 2,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.00 : 4,294.46 = 1,613.68 : x
  2. Step 2: Convert to fraction form
    2,863.00/4,294.46 = 1,613.68/x
  3. Step 3: Cross multiply
    2,863.00x = 4,294.46 × 1,613.68
  4. Step 4: Simplify right side
    2,863.00x = 6,929,894.95
  5. Step 5: Solve for x
    x = 6,929,894.95/2,863.00
  6. Step 6: Final answer
    x = 2,420.51

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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.