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Finding the Fourth Proportional to 2,209.51, 3,314.19 and 566.07

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Solution

The fourth proportional to 2,209.51, 3,314.19 and 566.07 is: 849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.51 : 3,314.19 = 566.07 : x
  2. Step 2: Convert to fraction form
    2,209.51/3,314.19 = 566.07/x
  3. Step 3: Cross multiply
    2,209.51x = 3,314.19 × 566.07
  4. Step 4: Simplify right side
    2,209.51x = 1,876,062.12
  5. Step 5: Solve for x
    x = 1,876,062.12/2,209.51
  6. Step 6: Final answer
    x = 849.09

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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.