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Finding the Fourth Proportional to 3,188.47, 4,778.30 and 1,783.63

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Solution

The fourth proportional to 3,188.47, 4,778.30 and 1,783.63 is: 2,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.47 : 4,778.30 = 1,783.63 : x
  2. Step 2: Convert to fraction form
    3,188.47/4,778.30 = 1,783.63/x
  3. Step 3: Cross multiply
    3,188.47x = 4,778.30 × 1,783.63
  4. Step 4: Simplify right side
    3,188.47x = 8,522,695.34
  5. Step 5: Solve for x
    x = 8,522,695.34/3,188.47
  6. Step 6: Final answer
    x = 2,672.97

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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.