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Finding the Fourth Proportional to 3,146.85, 4,342.31 and 1,820.30

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Solution

The fourth proportional to 3,146.85, 4,342.31 and 1,820.30 is: 2,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.85 : 4,342.31 = 1,820.30 : x
  2. Step 2: Convert to fraction form
    3,146.85/4,342.31 = 1,820.30/x
  3. Step 3: Cross multiply
    3,146.85x = 4,342.31 × 1,820.30
  4. Step 4: Simplify right side
    3,146.85x = 7,904,293.15
  5. Step 5: Solve for x
    x = 7,904,293.15/3,146.85
  6. Step 6: Final answer
    x = 2,511.81

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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.