Home / 1,724.76-2,588.09-800.28

Finding the Fourth Proportional to 1,724.76, 2,588.09 and 800.28

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Solution

The fourth proportional to 1,724.76, 2,588.09 and 800.28 is: 1,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.76 : 2,588.09 = 800.28 : x
  2. Step 2: Convert to fraction form
    1,724.76/2,588.09 = 800.28/x
  3. Step 3: Cross multiply
    1,724.76x = 2,588.09 × 800.28
  4. Step 4: Simplify right side
    1,724.76x = 2,071,192.66
  5. Step 5: Solve for x
    x = 2,071,192.66/1,724.76
  6. Step 6: Final answer
    x = 1,200.86

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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.