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Finding the Fourth Proportional to 2,772.35, 3,825.38 and 1,652.89

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Solution

The fourth proportional to 2,772.35, 3,825.38 and 1,652.89 is: 2,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.35 : 3,825.38 = 1,652.89 : x
  2. Step 2: Convert to fraction form
    2,772.35/3,825.38 = 1,652.89/x
  3. Step 3: Cross multiply
    2,772.35x = 3,825.38 × 1,652.89
  4. Step 4: Simplify right side
    2,772.35x = 6,322,914.52
  5. Step 5: Solve for x
    x = 6,322,914.52/2,772.35
  6. Step 6: Final answer
    x = 2,280.70

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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.