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Finding the Fourth Proportional to 2,045.96, 3,066.75 and 811.66

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Solution

The fourth proportional to 2,045.96, 3,066.75 and 811.66 is: 1,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.96 : 3,066.75 = 811.66 : x
  2. Step 2: Convert to fraction form
    2,045.96/3,066.75 = 811.66/x
  3. Step 3: Cross multiply
    2,045.96x = 3,066.75 × 811.66
  4. Step 4: Simplify right side
    2,045.96x = 2,489,158.31
  5. Step 5: Solve for x
    x = 2,489,158.31/2,045.96
  6. Step 6: Final answer
    x = 1,216.62

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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.