Home / 1,622.32-2,432.77-582.08

Finding the Fourth Proportional to 1,622.32, 2,432.77 and 582.08

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Solution

The fourth proportional to 1,622.32, 2,432.77 and 582.08 is: 872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.32 : 2,432.77 = 582.08 : x
  2. Step 2: Convert to fraction form
    1,622.32/2,432.77 = 582.08/x
  3. Step 3: Cross multiply
    1,622.32x = 2,432.77 × 582.08
  4. Step 4: Simplify right side
    1,622.32x = 1,416,053.14
  5. Step 5: Solve for x
    x = 1,416,053.14/1,622.32
  6. Step 6: Final answer
    x = 872.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.