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Finding the Fourth Proportional to 3,184.70, 4,777.05 and 1,335.32

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Solution

The fourth proportional to 3,184.70, 4,777.05 and 1,335.32 is: 2,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.70 : 4,777.05 = 1,335.32 : x
  2. Step 2: Convert to fraction form
    3,184.70/4,777.05 = 1,335.32/x
  3. Step 3: Cross multiply
    3,184.70x = 4,777.05 × 1,335.32
  4. Step 4: Simplify right side
    3,184.70x = 6,378,890.41
  5. Step 5: Solve for x
    x = 6,378,890.41/3,184.70
  6. Step 6: Final answer
    x = 2,002.98

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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.