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Finding the Fourth Proportional to 3,188.86, 4,785.18 and 1,727.98

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Solution

The fourth proportional to 3,188.86, 4,785.18 and 1,727.98 is: 2,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.86 : 4,785.18 = 1,727.98 : x
  2. Step 2: Convert to fraction form
    3,188.86/4,785.18 = 1,727.98/x
  3. Step 3: Cross multiply
    3,188.86x = 4,785.18 × 1,727.98
  4. Step 4: Simplify right side
    3,188.86x = 8,268,695.34
  5. Step 5: Solve for x
    x = 8,268,695.34/3,188.86
  6. Step 6: Final answer
    x = 2,592.99

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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.