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Finding the Fourth Proportional to 2,002, 2,760.60 and 1,468.56

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Solution

The fourth proportional to 2,002, 2,760.60 and 1,468.56 is: 2,025.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002 : 2,760.60 = 1,468.56 : x
  2. Step 2: Convert to fraction form
    2,002/2,760.60 = 1,468.56/x
  3. Step 3: Cross multiply
    2,002x = 2,760.60 × 1,468.56
  4. Step 4: Simplify right side
    2,002x = 4,054,106.74
  5. Step 5: Solve for x
    x = 4,054,106.74/2,002
  6. Step 6: Final answer
    x = 2,025.03

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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.