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Finding the Fourth Proportional to 2,267.70, 3,401.57 and 1,492.62

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Solution

The fourth proportional to 2,267.70, 3,401.57 and 1,492.62 is: 2,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.70 : 3,401.57 = 1,492.62 : x
  2. Step 2: Convert to fraction form
    2,267.70/3,401.57 = 1,492.62/x
  3. Step 3: Cross multiply
    2,267.70x = 3,401.57 × 1,492.62
  4. Step 4: Simplify right side
    2,267.70x = 5,077,255.14
  5. Step 5: Solve for x
    x = 5,077,255.14/2,267.70
  6. Step 6: Final answer
    x = 2,238.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.