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Finding the Fourth Proportional to 2,015.07, 3,022.60 and 920.35

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Solution

The fourth proportional to 2,015.07, 3,022.60 and 920.35 is: 1,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.07 : 3,022.60 = 920.35 : x
  2. Step 2: Convert to fraction form
    2,015.07/3,022.60 = 920.35/x
  3. Step 3: Cross multiply
    2,015.07x = 3,022.60 × 920.35
  4. Step 4: Simplify right side
    2,015.07x = 2,781,849.91
  5. Step 5: Solve for x
    x = 2,781,849.91/2,015.07
  6. Step 6: Final answer
    x = 1,380.53

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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.