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Finding the Fourth Proportional to 2,496.60, 3,743.10 and 1,401.30

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Solution

The fourth proportional to 2,496.60, 3,743.10 and 1,401.30 is: 2,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.60 : 3,743.10 = 1,401.30 : x
  2. Step 2: Convert to fraction form
    2,496.60/3,743.10 = 1,401.30/x
  3. Step 3: Cross multiply
    2,496.60x = 3,743.10 × 1,401.30
  4. Step 4: Simplify right side
    2,496.60x = 5,245,206.03
  5. Step 5: Solve for x
    x = 5,245,206.03/2,496.60
  6. Step 6: Final answer
    x = 2,100.94

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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.