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Finding the Fourth Proportional to 2,274.09, 3,411.14 and 1,541.85

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Solution

The fourth proportional to 2,274.09, 3,411.14 and 1,541.85 is: 2,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.09 : 3,411.14 = 1,541.85 : x
  2. Step 2: Convert to fraction form
    2,274.09/3,411.14 = 1,541.85/x
  3. Step 3: Cross multiply
    2,274.09x = 3,411.14 × 1,541.85
  4. Step 4: Simplify right side
    2,274.09x = 5,259,458.50
  5. Step 5: Solve for x
    x = 5,259,458.50/2,274.09
  6. Step 6: Final answer
    x = 2,312.78

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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.