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Finding the Fourth Proportional to 2,045.97, 3,065.94 and 1,212.18

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Solution

The fourth proportional to 2,045.97, 3,065.94 and 1,212.18 is: 1,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.97 : 3,065.94 = 1,212.18 : x
  2. Step 2: Convert to fraction form
    2,045.97/3,065.94 = 1,212.18/x
  3. Step 3: Cross multiply
    2,045.97x = 3,065.94 × 1,212.18
  4. Step 4: Simplify right side
    2,045.97x = 3,716,471.15
  5. Step 5: Solve for x
    x = 3,716,471.15/2,045.97
  6. Step 6: Final answer
    x = 1,816.48

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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.