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Finding the Fourth Proportional to 2,209.89, 3,314.80 and 566.43

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Solution

The fourth proportional to 2,209.89, 3,314.80 and 566.43 is: 849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.89 : 3,314.80 = 566.43 : x
  2. Step 2: Convert to fraction form
    2,209.89/3,314.80 = 566.43/x
  3. Step 3: Cross multiply
    2,209.89x = 3,314.80 × 566.43
  4. Step 4: Simplify right side
    2,209.89x = 1,877,602.16
  5. Step 5: Solve for x
    x = 1,877,602.16/2,209.89
  6. Step 6: Final answer
    x = 849.64

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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.