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Finding the Fourth Proportional to 2,380.78, 3,573.47 and 1,149.05

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Solution

The fourth proportional to 2,380.78, 3,573.47 and 1,149.05 is: 1,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.78 : 3,573.47 = 1,149.05 : x
  2. Step 2: Convert to fraction form
    2,380.78/3,573.47 = 1,149.05/x
  3. Step 3: Cross multiply
    2,380.78x = 3,573.47 × 1,149.05
  4. Step 4: Simplify right side
    2,380.78x = 4,106,104.36
  5. Step 5: Solve for x
    x = 4,106,104.36/2,380.78
  6. Step 6: Final answer
    x = 1,724.69

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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.