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Finding the Fourth Proportional to 2,034.42, 3,054.05 and 1,213.08

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Solution

The fourth proportional to 2,034.42, 3,054.05 and 1,213.08 is: 1,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.42 : 3,054.05 = 1,213.08 : x
  2. Step 2: Convert to fraction form
    2,034.42/3,054.05 = 1,213.08/x
  3. Step 3: Cross multiply
    2,034.42x = 3,054.05 × 1,213.08
  4. Step 4: Simplify right side
    2,034.42x = 3,704,800.83
  5. Step 5: Solve for x
    x = 3,704,800.83/2,034.42
  6. Step 6: Final answer
    x = 1,821.06

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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.