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Finding the Fourth Proportional to 2,748.14, 4,121.75 and 992.81

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Solution

The fourth proportional to 2,748.14, 4,121.75 and 992.81 is: 1,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.14 : 4,121.75 = 992.81 : x
  2. Step 2: Convert to fraction form
    2,748.14/4,121.75 = 992.81/x
  3. Step 3: Cross multiply
    2,748.14x = 4,121.75 × 992.81
  4. Step 4: Simplify right side
    2,748.14x = 4,092,094.01
  5. Step 5: Solve for x
    x = 4,092,094.01/2,748.14
  6. Step 6: Final answer
    x = 1,489.04

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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.