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Finding the Fourth Proportional to 3,184.68, 4,778.89 and 1,335.66

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Solution

The fourth proportional to 3,184.68, 4,778.89 and 1,335.66 is: 2,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.68 : 4,778.89 = 1,335.66 : x
  2. Step 2: Convert to fraction form
    3,184.68/4,778.89 = 1,335.66/x
  3. Step 3: Cross multiply
    3,184.68x = 4,778.89 × 1,335.66
  4. Step 4: Simplify right side
    3,184.68x = 6,382,950.96
  5. Step 5: Solve for x
    x = 6,382,950.96/3,184.68
  6. Step 6: Final answer
    x = 2,004.27

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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.