Home / 1,976.25-2,964.90-589.58

Finding the Fourth Proportional to 1,976.25, 2,964.90 and 589.58

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Solution

The fourth proportional to 1,976.25, 2,964.90 and 589.58 is: 884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.25 : 2,964.90 = 589.58 : x
  2. Step 2: Convert to fraction form
    1,976.25/2,964.90 = 589.58/x
  3. Step 3: Cross multiply
    1,976.25x = 2,964.90 × 589.58
  4. Step 4: Simplify right side
    1,976.25x = 1,748,044.25
  5. Step 5: Solve for x
    x = 1,748,044.25/1,976.25
  6. Step 6: Final answer
    x = 884.53

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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.