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Finding the Fourth Proportional to 2,492.66, 3,734.87 and 1,103.91

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Solution

The fourth proportional to 2,492.66, 3,734.87 and 1,103.91 is: 1,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.66 : 3,734.87 = 1,103.91 : x
  2. Step 2: Convert to fraction form
    2,492.66/3,734.87 = 1,103.91/x
  3. Step 3: Cross multiply
    2,492.66x = 3,734.87 × 1,103.91
  4. Step 4: Simplify right side
    2,492.66x = 4,122,954.82
  5. Step 5: Solve for x
    x = 4,122,954.82/2,492.66
  6. Step 6: Final answer
    x = 1,654.04

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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.