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Finding the Fourth Proportional to 2,253.86, 3,380.74 and 1,020.38

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Solution

The fourth proportional to 2,253.86, 3,380.74 and 1,020.38 is: 1,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.86 : 3,380.74 = 1,020.38 : x
  2. Step 2: Convert to fraction form
    2,253.86/3,380.74 = 1,020.38/x
  3. Step 3: Cross multiply
    2,253.86x = 3,380.74 × 1,020.38
  4. Step 4: Simplify right side
    2,253.86x = 3,449,639.48
  5. Step 5: Solve for x
    x = 3,449,639.48/2,253.86
  6. Step 6: Final answer
    x = 1,530.55

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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.