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Finding the Fourth Proportional to 3,044.13, 4,200.89 and 1,646.88

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Solution

The fourth proportional to 3,044.13, 4,200.89 and 1,646.88 is: 2,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.13 : 4,200.89 = 1,646.88 : x
  2. Step 2: Convert to fraction form
    3,044.13/4,200.89 = 1,646.88/x
  3. Step 3: Cross multiply
    3,044.13x = 4,200.89 × 1,646.88
  4. Step 4: Simplify right side
    3,044.13x = 6,918,361.72
  5. Step 5: Solve for x
    x = 6,918,361.72/3,044.13
  6. Step 6: Final answer
    x = 2,272.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.