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Finding the Fourth Proportional to 2,045.56, 3,066.49 and 812.69

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Solution

The fourth proportional to 2,045.56, 3,066.49 and 812.69 is: 1,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.56 : 3,066.49 = 812.69 : x
  2. Step 2: Convert to fraction form
    2,045.56/3,066.49 = 812.69/x
  3. Step 3: Cross multiply
    2,045.56x = 3,066.49 × 812.69
  4. Step 4: Simplify right side
    2,045.56x = 2,492,105.76
  5. Step 5: Solve for x
    x = 2,492,105.76/2,045.56
  6. Step 6: Final answer
    x = 1,218.30

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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.