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Finding the Fourth Proportional to 3,184.66, 4,778.84 and 1,335.61

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Solution

The fourth proportional to 3,184.66, 4,778.84 and 1,335.61 is: 2,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.66 : 4,778.84 = 1,335.61 : x
  2. Step 2: Convert to fraction form
    3,184.66/4,778.84 = 1,335.61/x
  3. Step 3: Cross multiply
    3,184.66x = 4,778.84 × 1,335.61
  4. Step 4: Simplify right side
    3,184.66x = 6,382,659.81
  5. Step 5: Solve for x
    x = 6,382,659.81/3,184.66
  6. Step 6: Final answer
    x = 2,004.19

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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.