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Finding the Fourth Proportional to 2,274.10, 3,411.19 and 813.21

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Solution

The fourth proportional to 2,274.10, 3,411.19 and 813.21 is: 1,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.10 : 3,411.19 = 813.21 : x
  2. Step 2: Convert to fraction form
    2,274.10/3,411.19 = 813.21/x
  3. Step 3: Cross multiply
    2,274.10x = 3,411.19 × 813.21
  4. Step 4: Simplify right side
    2,274.10x = 2,774,028.54
  5. Step 5: Solve for x
    x = 2,774,028.54/2,274.10
  6. Step 6: Final answer
    x = 1,219.84

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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.