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Finding the Fourth Proportional to 2,749.14, 4,123.25 and 993.81

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Solution

The fourth proportional to 2,749.14, 4,123.25 and 993.81 is: 1,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.14 : 4,123.25 = 993.81 : x
  2. Step 2: Convert to fraction form
    2,749.14/4,123.25 = 993.81/x
  3. Step 3: Cross multiply
    2,749.14x = 4,123.25 × 993.81
  4. Step 4: Simplify right side
    2,749.14x = 4,097,727.08
  5. Step 5: Solve for x
    x = 4,097,727.08/2,749.14
  6. Step 6: Final answer
    x = 1,490.55

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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.