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Finding the Fourth Proportional to 2,045.05, 3,066.96 and 812.13

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Solution

The fourth proportional to 2,045.05, 3,066.96 and 812.13 is: 1,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.05 : 3,066.96 = 812.13 : x
  2. Step 2: Convert to fraction form
    2,045.05/3,066.96 = 812.13/x
  3. Step 3: Cross multiply
    2,045.05x = 3,066.96 × 812.13
  4. Step 4: Simplify right side
    2,045.05x = 2,490,770.22
  5. Step 5: Solve for x
    x = 2,490,770.22/2,045.05
  6. Step 6: Final answer
    x = 1,217.95

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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.