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Finding the Fourth Proportional to 2,496.38, 3,742.16 and 935.96

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Solution

The fourth proportional to 2,496.38, 3,742.16 and 935.96 is: 1,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.38 : 3,742.16 = 935.96 : x
  2. Step 2: Convert to fraction form
    2,496.38/3,742.16 = 935.96/x
  3. Step 3: Cross multiply
    2,496.38x = 3,742.16 × 935.96
  4. Step 4: Simplify right side
    2,496.38x = 3,502,488.68
  5. Step 5: Solve for x
    x = 3,502,488.68/2,496.38
  6. Step 6: Final answer
    x = 1,403.03

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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.