Home / 1,724.96-2,584.74-1,541.36

Finding the Fourth Proportional to 1,724.96, 2,584.74 and 1,541.36

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Solution

The fourth proportional to 1,724.96, 2,584.74 and 1,541.36 is: 2,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.96 : 2,584.74 = 1,541.36 : x
  2. Step 2: Convert to fraction form
    1,724.96/2,584.74 = 1,541.36/x
  3. Step 3: Cross multiply
    1,724.96x = 2,584.74 × 1,541.36
  4. Step 4: Simplify right side
    1,724.96x = 3,984,014.85
  5. Step 5: Solve for x
    x = 3,984,014.85/1,724.96
  6. Step 6: Final answer
    x = 2,309.63

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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.