Home / 1,972.36-2,958.81-585.79

Finding the Fourth Proportional to 1,972.36, 2,958.81 and 585.79

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Solution

The fourth proportional to 1,972.36, 2,958.81 and 585.79 is: 878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.36 : 2,958.81 = 585.79 : x
  2. Step 2: Convert to fraction form
    1,972.36/2,958.81 = 585.79/x
  3. Step 3: Cross multiply
    1,972.36x = 2,958.81 × 585.79
  4. Step 4: Simplify right side
    1,972.36x = 1,733,241.31
  5. Step 5: Solve for x
    x = 1,733,241.31/1,972.36
  6. Step 6: Final answer
    x = 878.77

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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.