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Finding the Fourth Proportional to 2,274.71, 3,412.07 and 1,042.08

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Solution

The fourth proportional to 2,274.71, 3,412.07 and 1,042.08 is: 1,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.71 : 3,412.07 = 1,042.08 : x
  2. Step 2: Convert to fraction form
    2,274.71/3,412.07 = 1,042.08/x
  3. Step 3: Cross multiply
    2,274.71x = 3,412.07 × 1,042.08
  4. Step 4: Simplify right side
    2,274.71x = 3,555,644.70
  5. Step 5: Solve for x
    x = 3,555,644.70/2,274.71
  6. Step 6: Final answer
    x = 1,563.12

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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.