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Finding the Fourth Proportional to 2,290.92, 3,162.78 and 1,406.76

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Solution

The fourth proportional to 2,290.92, 3,162.78 and 1,406.76 is: 1,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.92 : 3,162.78 = 1,406.76 : x
  2. Step 2: Convert to fraction form
    2,290.92/3,162.78 = 1,406.76/x
  3. Step 3: Cross multiply
    2,290.92x = 3,162.78 × 1,406.76
  4. Step 4: Simplify right side
    2,290.92x = 4,449,272.39
  5. Step 5: Solve for x
    x = 4,449,272.39/2,290.92
  6. Step 6: Final answer
    x = 1,942.13

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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.