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Finding the Fourth Proportional to 3,164.47, 4,366.91 and 1,820.22

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Solution

The fourth proportional to 3,164.47, 4,366.91 and 1,820.22 is: 2,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.47 : 4,366.91 = 1,820.22 : x
  2. Step 2: Convert to fraction form
    3,164.47/4,366.91 = 1,820.22/x
  3. Step 3: Cross multiply
    3,164.47x = 4,366.91 × 1,820.22
  4. Step 4: Simplify right side
    3,164.47x = 7,948,749.66
  5. Step 5: Solve for x
    x = 7,948,749.66/3,164.47
  6. Step 6: Final answer
    x = 2,511.88

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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.