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Finding the Fourth Proportional to 2,468.44, 3,406.24 and 1,474

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Solution

The fourth proportional to 2,468.44, 3,406.24 and 1,474 is: 2,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.44 : 3,406.24 = 1,474 : x
  2. Step 2: Convert to fraction form
    2,468.44/3,406.24 = 1,474/x
  3. Step 3: Cross multiply
    2,468.44x = 3,406.24 × 1,474
  4. Step 4: Simplify right side
    2,468.44x = 5,020,797.76
  5. Step 5: Solve for x
    x = 5,020,797.76/2,468.44
  6. Step 6: Final answer
    x = 2,034.00

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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.