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Finding the Fourth Proportional to 2,611.82, 3,604.38 and 1,492.94

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Solution

The fourth proportional to 2,611.82, 3,604.38 and 1,492.94 is: 2,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.82 : 3,604.38 = 1,492.94 : x
  2. Step 2: Convert to fraction form
    2,611.82/3,604.38 = 1,492.94/x
  3. Step 3: Cross multiply
    2,611.82x = 3,604.38 × 1,492.94
  4. Step 4: Simplify right side
    2,611.82x = 5,381,105.06
  5. Step 5: Solve for x
    x = 5,381,105.06/2,611.82
  6. Step 6: Final answer
    x = 2,060.29

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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.