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Finding the Fourth Proportional to 4,113.84, 6,168.86 and 2,031.49

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Solution

The fourth proportional to 4,113.84, 6,168.86 and 2,031.49 is: 3,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.84 : 6,168.86 = 2,031.49 : x
  2. Step 2: Convert to fraction form
    4,113.84/6,168.86 = 2,031.49/x
  3. Step 3: Cross multiply
    4,113.84x = 6,168.86 × 2,031.49
  4. Step 4: Simplify right side
    4,113.84x = 12,531,977.40
  5. Step 5: Solve for x
    x = 12,531,977.40/4,113.84
  6. Step 6: Final answer
    x = 3,046.30

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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.