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Finding the Fourth Proportional to 1,582.56, 2,183.90 and 884.07

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Solution

The fourth proportional to 1,582.56, 2,183.90 and 884.07 is: 1,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.56 : 2,183.90 = 884.07 : x
  2. Step 2: Convert to fraction form
    1,582.56/2,183.90 = 884.07/x
  3. Step 3: Cross multiply
    1,582.56x = 2,183.90 × 884.07
  4. Step 4: Simplify right side
    1,582.56x = 1,930,716.05
  5. Step 5: Solve for x
    x = 1,930,716.05/1,582.56
  6. Step 6: Final answer
    x = 1,220.00

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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.