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Finding the Fourth Proportional to 1,582.00, 2,183.12 and 873.83

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Solution

The fourth proportional to 1,582.00, 2,183.12 and 873.83 is: 1,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.00 : 2,183.12 = 873.83 : x
  2. Step 2: Convert to fraction form
    1,582.00/2,183.12 = 873.83/x
  3. Step 3: Cross multiply
    1,582.00x = 2,183.12 × 873.83
  4. Step 4: Simplify right side
    1,582.00x = 1,907,671.52
  5. Step 5: Solve for x
    x = 1,907,671.52/1,582.00
  6. Step 6: Final answer
    x = 1,205.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.