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Finding the Fourth Proportional to 2,671.76, 3,687.19 and 1,492.92

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Solution

The fourth proportional to 2,671.76, 3,687.19 and 1,492.92 is: 2,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.76 : 3,687.19 = 1,492.92 : x
  2. Step 2: Convert to fraction form
    2,671.76/3,687.19 = 1,492.92/x
  3. Step 3: Cross multiply
    2,671.76x = 3,687.19 × 1,492.92
  4. Step 4: Simplify right side
    2,671.76x = 5,504,679.69
  5. Step 5: Solve for x
    x = 5,504,679.69/2,671.76
  6. Step 6: Final answer
    x = 2,060.32

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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.