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Finding the Fourth Proportional to 2,496.40, 3,744.60 and 2,453.20

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Solution

The fourth proportional to 2,496.40, 3,744.60 and 2,453.20 is: 3,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.40 : 3,744.60 = 2,453.20 : x
  2. Step 2: Convert to fraction form
    2,496.40/3,744.60 = 2,453.20/x
  3. Step 3: Cross multiply
    2,496.40x = 3,744.60 × 2,453.20
  4. Step 4: Simplify right side
    2,496.40x = 9,186,252.72
  5. Step 5: Solve for x
    x = 9,186,252.72/2,496.40
  6. Step 6: Final answer
    x = 3,679.80

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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.