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Finding the Fourth Proportional to 2,697.44, 4,039.13 and 2,533.25

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Solution

The fourth proportional to 2,697.44, 4,039.13 and 2,533.25 is: 3,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.44 : 4,039.13 = 2,533.25 : x
  2. Step 2: Convert to fraction form
    2,697.44/4,039.13 = 2,533.25/x
  3. Step 3: Cross multiply
    2,697.44x = 4,039.13 × 2,533.25
  4. Step 4: Simplify right side
    2,697.44x = 10,232,142.50
  5. Step 5: Solve for x
    x = 10,232,142.50/2,697.44
  6. Step 6: Final answer
    x = 3,793.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.