Home / 1,983.40-2,975.17-596.93

Finding the Fourth Proportional to 1,983.40, 2,975.17 and 596.93

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Solution

The fourth proportional to 1,983.40, 2,975.17 and 596.93 is: 895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.40 : 2,975.17 = 596.93 : x
  2. Step 2: Convert to fraction form
    1,983.40/2,975.17 = 596.93/x
  3. Step 3: Cross multiply
    1,983.40x = 2,975.17 × 596.93
  4. Step 4: Simplify right side
    1,983.40x = 1,775,976.84
  5. Step 5: Solve for x
    x = 1,775,976.84/1,983.40
  6. Step 6: Final answer
    x = 895.42

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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.