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Finding the Fourth Proportional to 2,494.13, 3,738.78 and 933.71

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Solution

The fourth proportional to 2,494.13, 3,738.78 and 933.71 is: 1,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.13 : 3,738.78 = 933.71 : x
  2. Step 2: Convert to fraction form
    2,494.13/3,738.78 = 933.71/x
  3. Step 3: Cross multiply
    2,494.13x = 3,738.78 × 933.71
  4. Step 4: Simplify right side
    2,494.13x = 3,490,917.58
  5. Step 5: Solve for x
    x = 3,490,917.58/2,494.13
  6. Step 6: Final answer
    x = 1,399.66

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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.