Home / 1,622.48-2,433.24-582.30

Finding the Fourth Proportional to 1,622.48, 2,433.24 and 582.30

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Solution

The fourth proportional to 1,622.48, 2,433.24 and 582.30 is: 873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.48 : 2,433.24 = 582.30 : x
  2. Step 2: Convert to fraction form
    1,622.48/2,433.24 = 582.30/x
  3. Step 3: Cross multiply
    1,622.48x = 2,433.24 × 582.30
  4. Step 4: Simplify right side
    1,622.48x = 1,416,875.65
  5. Step 5: Solve for x
    x = 1,416,875.65/1,622.48
  6. Step 6: Final answer
    x = 873.28

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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.