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Finding the Fourth Proportional to 2,209.16, 3,309.42 and 1,693.64

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Solution

The fourth proportional to 2,209.16, 3,309.42 and 1,693.64 is: 2,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.16 : 3,309.42 = 1,693.64 : x
  2. Step 2: Convert to fraction form
    2,209.16/3,309.42 = 1,693.64/x
  3. Step 3: Cross multiply
    2,209.16x = 3,309.42 × 1,693.64
  4. Step 4: Simplify right side
    2,209.16x = 5,604,966.09
  5. Step 5: Solve for x
    x = 5,604,966.09/2,209.16
  6. Step 6: Final answer
    x = 2,537.15

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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.