Home / 1,624.23-2,434.63-800.80

Finding the Fourth Proportional to 1,624.23, 2,434.63 and 800.80

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Solution

The fourth proportional to 1,624.23, 2,434.63 and 800.80 is: 1,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.23 : 2,434.63 = 800.80 : x
  2. Step 2: Convert to fraction form
    1,624.23/2,434.63 = 800.80/x
  3. Step 3: Cross multiply
    1,624.23x = 2,434.63 × 800.80
  4. Step 4: Simplify right side
    1,624.23x = 1,949,650.79
  5. Step 5: Solve for x
    x = 1,949,650.79/1,624.23
  6. Step 6: Final answer
    x = 1,200.36

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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.