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Finding the Fourth Proportional to 2,034.94, 3,049.14 and 1,484.56

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Solution

The fourth proportional to 2,034.94, 3,049.14 and 1,484.56 is: 2,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.94 : 3,049.14 = 1,484.56 : x
  2. Step 2: Convert to fraction form
    2,034.94/3,049.14 = 1,484.56/x
  3. Step 3: Cross multiply
    2,034.94x = 3,049.14 × 1,484.56
  4. Step 4: Simplify right side
    2,034.94x = 4,526,631.28
  5. Step 5: Solve for x
    x = 4,526,631.28/2,034.94
  6. Step 6: Final answer
    x = 2,224.45

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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.