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Finding the Fourth Proportional to 2,407.99, 3,321.59 and 1,661.91

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Solution

The fourth proportional to 2,407.99, 3,321.59 and 1,661.91 is: 2,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.99 : 3,321.59 = 1,661.91 : x
  2. Step 2: Convert to fraction form
    2,407.99/3,321.59 = 1,661.91/x
  3. Step 3: Cross multiply
    2,407.99x = 3,321.59 × 1,661.91
  4. Step 4: Simplify right side
    2,407.99x = 5,520,183.64
  5. Step 5: Solve for x
    x = 5,520,183.64/2,407.99
  6. Step 6: Final answer
    x = 2,292.44

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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.