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Finding the Fourth Proportional to 2,983.92, 4,117.86 and 1,741.92

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Solution

The fourth proportional to 2,983.92, 4,117.86 and 1,741.92 is: 2,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.92 : 4,117.86 = 1,741.92 : x
  2. Step 2: Convert to fraction form
    2,983.92/4,117.86 = 1,741.92/x
  3. Step 3: Cross multiply
    2,983.92x = 4,117.86 × 1,741.92
  4. Step 4: Simplify right side
    2,983.92x = 7,172,982.69
  5. Step 5: Solve for x
    x = 7,172,982.69/2,983.92
  6. Step 6: Final answer
    x = 2,403.88

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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.