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Finding the Fourth Proportional to 2,074.63, 3,110.92 and 905.62

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Solution

The fourth proportional to 2,074.63, 3,110.92 and 905.62 is: 1,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.63 : 3,110.92 = 905.62 : x
  2. Step 2: Convert to fraction form
    2,074.63/3,110.92 = 905.62/x
  3. Step 3: Cross multiply
    2,074.63x = 3,110.92 × 905.62
  4. Step 4: Simplify right side
    2,074.63x = 2,817,295.82
  5. Step 5: Solve for x
    x = 2,817,295.82/2,074.63
  6. Step 6: Final answer
    x = 1,357.98

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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.