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Finding the Fourth Proportional to 2,947.92, 4,066.44 and 1,842

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Solution

The fourth proportional to 2,947.92, 4,066.44 and 1,842 is: 2,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.92 : 4,066.44 = 1,842 : x
  2. Step 2: Convert to fraction form
    2,947.92/4,066.44 = 1,842/x
  3. Step 3: Cross multiply
    2,947.92x = 4,066.44 × 1,842
  4. Step 4: Simplify right side
    2,947.92x = 7,490,382.48
  5. Step 5: Solve for x
    x = 7,490,382.48/2,947.92
  6. Step 6: Final answer
    x = 2,540.90

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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.