Home / 1,724.24-2,587.32-698.96

Finding the Fourth Proportional to 1,724.24, 2,587.32 and 698.96

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Solution

The fourth proportional to 1,724.24, 2,587.32 and 698.96 is: 1,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.24 : 2,587.32 = 698.96 : x
  2. Step 2: Convert to fraction form
    1,724.24/2,587.32 = 698.96/x
  3. Step 3: Cross multiply
    1,724.24x = 2,587.32 × 698.96
  4. Step 4: Simplify right side
    1,724.24x = 1,808,433.19
  5. Step 5: Solve for x
    x = 1,808,433.19/1,724.24
  6. Step 6: Final answer
    x = 1,048.83

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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.