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Finding the Fourth Proportional to 2,830.91, 4,243.94 and 1,074.92

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Solution

The fourth proportional to 2,830.91, 4,243.94 and 1,074.92 is: 1,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.91 : 4,243.94 = 1,074.92 : x
  2. Step 2: Convert to fraction form
    2,830.91/4,243.94 = 1,074.92/x
  3. Step 3: Cross multiply
    2,830.91x = 4,243.94 × 1,074.92
  4. Step 4: Simplify right side
    2,830.91x = 4,561,869.39
  5. Step 5: Solve for x
    x = 4,561,869.39/2,830.91
  6. Step 6: Final answer
    x = 1,611.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.