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Finding the Fourth Proportional to 2,533.85, 3,497.15 and 1,872.62

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Solution

The fourth proportional to 2,533.85, 3,497.15 and 1,872.62 is: 2,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.85 : 3,497.15 = 1,872.62 : x
  2. Step 2: Convert to fraction form
    2,533.85/3,497.15 = 1,872.62/x
  3. Step 3: Cross multiply
    2,533.85x = 3,497.15 × 1,872.62
  4. Step 4: Simplify right side
    2,533.85x = 6,548,833.03
  5. Step 5: Solve for x
    x = 6,548,833.03/2,533.85
  6. Step 6: Final answer
    x = 2,584.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.