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Finding the Fourth Proportional to 3,200.67, 4,415.90 and 1,803.15

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Solution

The fourth proportional to 3,200.67, 4,415.90 and 1,803.15 is: 2,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.67 : 4,415.90 = 1,803.15 : x
  2. Step 2: Convert to fraction form
    3,200.67/4,415.90 = 1,803.15/x
  3. Step 3: Cross multiply
    3,200.67x = 4,415.90 × 1,803.15
  4. Step 4: Simplify right side
    3,200.67x = 7,962,530.09
  5. Step 5: Solve for x
    x = 7,962,530.09/3,200.67
  6. Step 6: Final answer
    x = 2,487.77

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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.