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Finding the Fourth Proportional to 2,183.57, 3,276.71 and 1,404.07

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Solution

The fourth proportional to 2,183.57, 3,276.71 and 1,404.07 is: 2,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.57 : 3,276.71 = 1,404.07 : x
  2. Step 2: Convert to fraction form
    2,183.57/3,276.71 = 1,404.07/x
  3. Step 3: Cross multiply
    2,183.57x = 3,276.71 × 1,404.07
  4. Step 4: Simplify right side
    2,183.57x = 4,600,727.29
  5. Step 5: Solve for x
    x = 4,600,727.29/2,183.57
  6. Step 6: Final answer
    x = 2,106.97

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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.