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Finding the Fourth Proportional to 2,274.96, 3,411.05 and 1,042.76

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Solution

The fourth proportional to 2,274.96, 3,411.05 and 1,042.76 is: 1,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.96 : 3,411.05 = 1,042.76 : x
  2. Step 2: Convert to fraction form
    2,274.96/3,411.05 = 1,042.76/x
  3. Step 3: Cross multiply
    2,274.96x = 3,411.05 × 1,042.76
  4. Step 4: Simplify right side
    2,274.96x = 3,556,884.23
  5. Step 5: Solve for x
    x = 3,556,884.23/2,274.96
  6. Step 6: Final answer
    x = 1,563.49

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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.