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Finding the Fourth Proportional to 2,209.44, 3,315.06 and 1,169.16

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Solution

The fourth proportional to 2,209.44, 3,315.06 and 1,169.16 is: 1,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.44 : 3,315.06 = 1,169.16 : x
  2. Step 2: Convert to fraction form
    2,209.44/3,315.06 = 1,169.16/x
  3. Step 3: Cross multiply
    2,209.44x = 3,315.06 × 1,169.16
  4. Step 4: Simplify right side
    2,209.44x = 3,875,835.55
  5. Step 5: Solve for x
    x = 3,875,835.55/2,209.44
  6. Step 6: Final answer
    x = 1,754.22

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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.