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Finding the Fourth Proportional to 1,939.47, 2,676.32 and 1,142.86

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Solution

The fourth proportional to 1,939.47, 2,676.32 and 1,142.86 is: 1,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.47 : 2,676.32 = 1,142.86 : x
  2. Step 2: Convert to fraction form
    1,939.47/2,676.32 = 1,142.86/x
  3. Step 3: Cross multiply
    1,939.47x = 2,676.32 × 1,142.86
  4. Step 4: Simplify right side
    1,939.47x = 3,058,659.08
  5. Step 5: Solve for x
    x = 3,058,659.08/1,939.47
  6. Step 6: Final answer
    x = 1,577.06

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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.