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Finding the Fourth Proportional to 3,142.94, 4,714.25 and 1,294.02

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Solution

The fourth proportional to 3,142.94, 4,714.25 and 1,294.02 is: 1,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.94 : 4,714.25 = 1,294.02 : x
  2. Step 2: Convert to fraction form
    3,142.94/4,714.25 = 1,294.02/x
  3. Step 3: Cross multiply
    3,142.94x = 4,714.25 × 1,294.02
  4. Step 4: Simplify right side
    3,142.94x = 6,100,327.31
  5. Step 5: Solve for x
    x = 6,100,327.31/3,142.94
  6. Step 6: Final answer
    x = 1,940.97

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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.