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Finding the Fourth Proportional to 3,142.60, 4,335.42 and 1,964.05

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Solution

The fourth proportional to 3,142.60, 4,335.42 and 1,964.05 is: 2,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.60 : 4,335.42 = 1,964.05 : x
  2. Step 2: Convert to fraction form
    3,142.60/4,335.42 = 1,964.05/x
  3. Step 3: Cross multiply
    3,142.60x = 4,335.42 × 1,964.05
  4. Step 4: Simplify right side
    3,142.60x = 8,514,978.18
  5. Step 5: Solve for x
    x = 8,514,978.18/3,142.60
  6. Step 6: Final answer
    x = 2,709.54

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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.