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Finding the Fourth Proportional to 2,734, 3,772.92 and 1,492.08

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Solution

The fourth proportional to 2,734, 3,772.92 and 1,492.08 is: 2,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734 : 3,772.92 = 1,492.08 : x
  2. Step 2: Convert to fraction form
    2,734/3,772.92 = 1,492.08/x
  3. Step 3: Cross multiply
    2,734x = 3,772.92 × 1,492.08
  4. Step 4: Simplify right side
    2,734x = 5,629,498.47
  5. Step 5: Solve for x
    x = 5,629,498.47/2,734
  6. Step 6: Final answer
    x = 2,059.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.