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Finding the Fourth Proportional to 2,494.17, 3,742.71 and 935.27

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Solution

The fourth proportional to 2,494.17, 3,742.71 and 935.27 is: 1,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.17 : 3,742.71 = 935.27 : x
  2. Step 2: Convert to fraction form
    2,494.17/3,742.71 = 935.27/x
  3. Step 3: Cross multiply
    2,494.17x = 3,742.71 × 935.27
  4. Step 4: Simplify right side
    2,494.17x = 3,500,425.67
  5. Step 5: Solve for x
    x = 3,500,425.67/2,494.17
  6. Step 6: Final answer
    x = 1,403.44

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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.