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Finding the Fourth Proportional to 3,354.84, 5,031.90 and 2,054.04

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Solution

The fourth proportional to 3,354.84, 5,031.90 and 2,054.04 is: 3,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.84 : 5,031.90 = 2,054.04 : x
  2. Step 2: Convert to fraction form
    3,354.84/5,031.90 = 2,054.04/x
  3. Step 3: Cross multiply
    3,354.84x = 5,031.90 × 2,054.04
  4. Step 4: Simplify right side
    3,354.84x = 10,335,723.88
  5. Step 5: Solve for x
    x = 10,335,723.88/3,354.84
  6. Step 6: Final answer
    x = 3,080.84

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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.