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Finding the Fourth Proportional to 3,203.10, 4,800.60 and 2,854.80

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Solution

The fourth proportional to 3,203.10, 4,800.60 and 2,854.80 is: 4,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.10 : 4,800.60 = 2,854.80 : x
  2. Step 2: Convert to fraction form
    3,203.10/4,800.60 = 2,854.80/x
  3. Step 3: Cross multiply
    3,203.10x = 4,800.60 × 2,854.80
  4. Step 4: Simplify right side
    3,203.10x = 13,704,752.88
  5. Step 5: Solve for x
    x = 13,704,752.88/3,203.10
  6. Step 6: Final answer
    x = 4,278.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.