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Finding the Fourth Proportional to 2,142.03, 3,214.86 and 844.41

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Solution

The fourth proportional to 2,142.03, 3,214.86 and 844.41 is: 1,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.03 : 3,214.86 = 844.41 : x
  2. Step 2: Convert to fraction form
    2,142.03/3,214.86 = 844.41/x
  3. Step 3: Cross multiply
    2,142.03x = 3,214.86 × 844.41
  4. Step 4: Simplify right side
    2,142.03x = 2,714,659.93
  5. Step 5: Solve for x
    x = 2,714,659.93/2,142.03
  6. Step 6: Final answer
    x = 1,267.33

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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.