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Finding the Fourth Proportional to 2,772.38, 3,825.96 and 1,653.41

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Solution

The fourth proportional to 2,772.38, 3,825.96 and 1,653.41 is: 2,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.38 : 3,825.96 = 1,653.41 : x
  2. Step 2: Convert to fraction form
    2,772.38/3,825.96 = 1,653.41/x
  3. Step 3: Cross multiply
    2,772.38x = 3,825.96 × 1,653.41
  4. Step 4: Simplify right side
    2,772.38x = 6,325,880.52
  5. Step 5: Solve for x
    x = 6,325,880.52/2,772.38
  6. Step 6: Final answer
    x = 2,281.75

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Why These Related Problems?

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