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Finding the Fourth Proportional to 1,983.98, 2,976.11 and 597.42

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Solution

The fourth proportional to 1,983.98, 2,976.11 and 597.42 is: 896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.98 : 2,976.11 = 597.42 : x
  2. Step 2: Convert to fraction form
    1,983.98/2,976.11 = 597.42/x
  3. Step 3: Cross multiply
    1,983.98x = 2,976.11 × 597.42
  4. Step 4: Simplify right side
    1,983.98x = 1,777,984.65
  5. Step 5: Solve for x
    x = 1,777,984.65/1,983.98
  6. Step 6: Final answer
    x = 896.17

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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.