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Finding the Fourth Proportional to 3,200.80, 4,415.76 and 2,314.64

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Solution

The fourth proportional to 3,200.80, 4,415.76 and 2,314.64 is: 3,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.80 : 4,415.76 = 2,314.64 : x
  2. Step 2: Convert to fraction form
    3,200.80/4,415.76 = 2,314.64/x
  3. Step 3: Cross multiply
    3,200.80x = 4,415.76 × 2,314.64
  4. Step 4: Simplify right side
    3,200.80x = 10,220,894.73
  5. Step 5: Solve for x
    x = 10,220,894.73/3,200.80
  6. Step 6: Final answer
    x = 3,193.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.