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Finding the Fourth Proportional to 2,850, 4,272.66 and 1,913.94

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Solution

The fourth proportional to 2,850, 4,272.66 and 1,913.94 is: 2,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850 : 4,272.66 = 1,913.94 : x
  2. Step 2: Convert to fraction form
    2,850/4,272.66 = 1,913.94/x
  3. Step 3: Cross multiply
    2,850x = 4,272.66 × 1,913.94
  4. Step 4: Simplify right side
    2,850x = 8,177,614.88
  5. Step 5: Solve for x
    x = 8,177,614.88/2,850
  6. Step 6: Final answer
    x = 2,869.34

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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.