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Finding the Fourth Proportional to 3,143.97, 4,338.77 and 1,746.81

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Solution

The fourth proportional to 3,143.97, 4,338.77 and 1,746.81 is: 2,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.97 : 4,338.77 = 1,746.81 : x
  2. Step 2: Convert to fraction form
    3,143.97/4,338.77 = 1,746.81/x
  3. Step 3: Cross multiply
    3,143.97x = 4,338.77 × 1,746.81
  4. Step 4: Simplify right side
    3,143.97x = 7,578,998.09
  5. Step 5: Solve for x
    x = 7,578,998.09/3,143.97
  6. Step 6: Final answer
    x = 2,410.65

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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.