Home / 1,983.10-2,975.05-596.37

Finding the Fourth Proportional to 1,983.10, 2,975.05 and 596.37

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Solution

The fourth proportional to 1,983.10, 2,975.05 and 596.37 is: 894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.10 : 2,975.05 = 596.37 : x
  2. Step 2: Convert to fraction form
    1,983.10/2,975.05 = 596.37/x
  3. Step 3: Cross multiply
    1,983.10x = 2,975.05 × 596.37
  4. Step 4: Simplify right side
    1,983.10x = 1,774,230.75
  5. Step 5: Solve for x
    x = 1,774,230.75/1,983.10
  6. Step 6: Final answer
    x = 894.68

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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.