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Finding the Fourth Proportional to 2,209.66, 3,316.47 and 1,660.18

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Solution

The fourth proportional to 2,209.66, 3,316.47 and 1,660.18 is: 2,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.66 : 3,316.47 = 1,660.18 : x
  2. Step 2: Convert to fraction form
    2,209.66/3,316.47 = 1,660.18/x
  3. Step 3: Cross multiply
    2,209.66x = 3,316.47 × 1,660.18
  4. Step 4: Simplify right side
    2,209.66x = 5,505,937.16
  5. Step 5: Solve for x
    x = 5,505,937.16/2,209.66
  6. Step 6: Final answer
    x = 2,491.76

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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.