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Finding the Fourth Proportional to 2,496.94, 3,742.14 and 1,263.68

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Solution

The fourth proportional to 2,496.94, 3,742.14 and 1,263.68 is: 1,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.94 : 3,742.14 = 1,263.68 : x
  2. Step 2: Convert to fraction form
    2,496.94/3,742.14 = 1,263.68/x
  3. Step 3: Cross multiply
    2,496.94x = 3,742.14 × 1,263.68
  4. Step 4: Simplify right side
    2,496.94x = 4,728,867.48
  5. Step 5: Solve for x
    x = 4,728,867.48/2,496.94
  6. Step 6: Final answer
    x = 1,893.87

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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.