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Finding the Fourth Proportional to 1,976.34, 2,964.68 and 589.59

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Solution

The fourth proportional to 1,976.34, 2,964.68 and 589.59 is: 884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.34 : 2,964.68 = 589.59 : x
  2. Step 2: Convert to fraction form
    1,976.34/2,964.68 = 589.59/x
  3. Step 3: Cross multiply
    1,976.34x = 2,964.68 × 589.59
  4. Step 4: Simplify right side
    1,976.34x = 1,747,927.91
  5. Step 5: Solve for x
    x = 1,747,927.91/1,976.34
  6. Step 6: Final answer
    x = 884.43

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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.