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Finding the Fourth Proportional to 3,044.88, 4,202 and 1,786.90

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Solution

The fourth proportional to 3,044.88, 4,202 and 1,786.90 is: 2,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.88 : 4,202 = 1,786.90 : x
  2. Step 2: Convert to fraction form
    3,044.88/4,202 = 1,786.90/x
  3. Step 3: Cross multiply
    3,044.88x = 4,202 × 1,786.90
  4. Step 4: Simplify right side
    3,044.88x = 7,508,553.80
  5. Step 5: Solve for x
    x = 7,508,553.80/3,044.88
  6. Step 6: Final answer
    x = 2,465.96

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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.