Home / 1,582.88-2,183.09-1,023.37

Finding the Fourth Proportional to 1,582.88, 2,183.09 and 1,023.37

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Solution

The fourth proportional to 1,582.88, 2,183.09 and 1,023.37 is: 1,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.88 : 2,183.09 = 1,023.37 : x
  2. Step 2: Convert to fraction form
    1,582.88/2,183.09 = 1,023.37/x
  3. Step 3: Cross multiply
    1,582.88x = 2,183.09 × 1,023.37
  4. Step 4: Simplify right side
    1,582.88x = 2,234,098.24
  5. Step 5: Solve for x
    x = 2,234,098.24/1,582.88
  6. Step 6: Final answer
    x = 1,411.42

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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.