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Finding the Fourth Proportional to 2,496.30, 3,742.20 and 935.19

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Solution

The fourth proportional to 2,496.30, 3,742.20 and 935.19 is: 1,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.30 : 3,742.20 = 935.19 : x
  2. Step 2: Convert to fraction form
    2,496.30/3,742.20 = 935.19/x
  3. Step 3: Cross multiply
    2,496.30x = 3,742.20 × 935.19
  4. Step 4: Simplify right side
    2,496.30x = 3,499,668.02
  5. Step 5: Solve for x
    x = 3,499,668.02/2,496.30
  6. Step 6: Final answer
    x = 1,401.94

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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.