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Finding the Fourth Proportional to 2,382.96, 3,572.52 and 1,015.92

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Solution

The fourth proportional to 2,382.96, 3,572.52 and 1,015.92 is: 1,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.96 : 3,572.52 = 1,015.92 : x
  2. Step 2: Convert to fraction form
    2,382.96/3,572.52 = 1,015.92/x
  3. Step 3: Cross multiply
    2,382.96x = 3,572.52 × 1,015.92
  4. Step 4: Simplify right side
    2,382.96x = 3,629,394.52
  5. Step 5: Solve for x
    x = 3,629,394.52/2,382.96
  6. Step 6: Final answer
    x = 1,523.06

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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.