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Finding the Fourth Proportional to 3,184.63, 4,776.08 and 1,335.44

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Solution

The fourth proportional to 3,184.63, 4,776.08 and 1,335.44 is: 2,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.63 : 4,776.08 = 1,335.44 : x
  2. Step 2: Convert to fraction form
    3,184.63/4,776.08 = 1,335.44/x
  3. Step 3: Cross multiply
    3,184.63x = 4,776.08 × 1,335.44
  4. Step 4: Simplify right side
    3,184.63x = 6,378,173.54
  5. Step 5: Solve for x
    x = 6,378,173.54/3,184.63
  6. Step 6: Final answer
    x = 2,002.80

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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.