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Finding the Fourth Proportional to 2,496.24, 3,743.27 and 935.15

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Solution

The fourth proportional to 2,496.24, 3,743.27 and 935.15 is: 1,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.24 : 3,743.27 = 935.15 : x
  2. Step 2: Convert to fraction form
    2,496.24/3,743.27 = 935.15/x
  3. Step 3: Cross multiply
    2,496.24x = 3,743.27 × 935.15
  4. Step 4: Simplify right side
    2,496.24x = 3,500,495.55
  5. Step 5: Solve for x
    x = 3,500,495.55/2,496.24
  6. Step 6: Final answer
    x = 1,402.31

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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.