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Finding the Fourth Proportional to 2,605.66, 3,594.81 and 1,609.21

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Solution

The fourth proportional to 2,605.66, 3,594.81 and 1,609.21 is: 2,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.66 : 3,594.81 = 1,609.21 : x
  2. Step 2: Convert to fraction form
    2,605.66/3,594.81 = 1,609.21/x
  3. Step 3: Cross multiply
    2,605.66x = 3,594.81 × 1,609.21
  4. Step 4: Simplify right side
    2,605.66x = 5,784,804.20
  5. Step 5: Solve for x
    x = 5,784,804.20/2,605.66
  6. Step 6: Final answer
    x = 2,220.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.