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Finding the Fourth Proportional to 2,274.62, 3,411.03 and 1,350.42

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Solution

The fourth proportional to 2,274.62, 3,411.03 and 1,350.42 is: 2,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.62 : 3,411.03 = 1,350.42 : x
  2. Step 2: Convert to fraction form
    2,274.62/3,411.03 = 1,350.42/x
  3. Step 3: Cross multiply
    2,274.62x = 3,411.03 × 1,350.42
  4. Step 4: Simplify right side
    2,274.62x = 4,606,323.13
  5. Step 5: Solve for x
    x = 4,606,323.13/2,274.62
  6. Step 6: Final answer
    x = 2,025.10

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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.