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Finding the Fourth Proportional to 2,671.20, 3,685.99 and 1,492.24

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Solution

The fourth proportional to 2,671.20, 3,685.99 and 1,492.24 is: 2,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.20 : 3,685.99 = 1,492.24 : x
  2. Step 2: Convert to fraction form
    2,671.20/3,685.99 = 1,492.24/x
  3. Step 3: Cross multiply
    2,671.20x = 3,685.99 × 1,492.24
  4. Step 4: Simplify right side
    2,671.20x = 5,500,381.72
  5. Step 5: Solve for x
    x = 5,500,381.72/2,671.20
  6. Step 6: Final answer
    x = 2,059.14

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