Home / 1,622.24-2,433.93-582.40

Finding the Fourth Proportional to 1,622.24, 2,433.93 and 582.40

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Solution

The fourth proportional to 1,622.24, 2,433.93 and 582.40 is: 873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.24 : 2,433.93 = 582.40 : x
  2. Step 2: Convert to fraction form
    1,622.24/2,433.93 = 582.40/x
  3. Step 3: Cross multiply
    1,622.24x = 2,433.93 × 582.40
  4. Step 4: Simplify right side
    1,622.24x = 1,417,520.83
  5. Step 5: Solve for x
    x = 1,417,520.83/1,622.24
  6. Step 6: Final answer
    x = 873.80

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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.