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Finding the Fourth Proportional to 3,142.43, 4,713.65 and 1,293.05

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Solution

The fourth proportional to 3,142.43, 4,713.65 and 1,293.05 is: 1,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.43 : 4,713.65 = 1,293.05 : x
  2. Step 2: Convert to fraction form
    3,142.43/4,713.65 = 1,293.05/x
  3. Step 3: Cross multiply
    3,142.43x = 4,713.65 × 1,293.05
  4. Step 4: Simplify right side
    3,142.43x = 6,094,985.13
  5. Step 5: Solve for x
    x = 6,094,985.13/3,142.43
  6. Step 6: Final answer
    x = 1,939.58

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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.