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Finding the Fourth Proportional to 3,142.96, 4,335.90 and 2,146.60

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Solution

The fourth proportional to 3,142.96, 4,335.90 and 2,146.60 is: 2,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.96 : 4,335.90 = 2,146.60 : x
  2. Step 2: Convert to fraction form
    3,142.96/4,335.90 = 2,146.60/x
  3. Step 3: Cross multiply
    3,142.96x = 4,335.90 × 2,146.60
  4. Step 4: Simplify right side
    3,142.96x = 9,307,442.94
  5. Step 5: Solve for x
    x = 9,307,442.94/3,142.96
  6. Step 6: Final answer
    x = 2,961.36

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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.