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Finding the Fourth Proportional to 4,193.41, 6,280.54 and 2,003.68

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Solution

The fourth proportional to 4,193.41, 6,280.54 and 2,003.68 is: 3,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.41 : 6,280.54 = 2,003.68 : x
  2. Step 2: Convert to fraction form
    4,193.41/6,280.54 = 2,003.68/x
  3. Step 3: Cross multiply
    4,193.41x = 6,280.54 × 2,003.68
  4. Step 4: Simplify right side
    4,193.41x = 12,584,192.39
  5. Step 5: Solve for x
    x = 12,584,192.39/4,193.41
  6. Step 6: Final answer
    x = 3,000.94

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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.