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Finding the Fourth Proportional to 1,983.34, 2,976.62 and 1,399.50

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Solution

The fourth proportional to 1,983.34, 2,976.62 and 1,399.50 is: 2,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.34 : 2,976.62 = 1,399.50 : x
  2. Step 2: Convert to fraction form
    1,983.34/2,976.62 = 1,399.50/x
  3. Step 3: Cross multiply
    1,983.34x = 2,976.62 × 1,399.50
  4. Step 4: Simplify right side
    1,983.34x = 4,165,779.69
  5. Step 5: Solve for x
    x = 4,165,779.69/1,983.34
  6. Step 6: Final answer
    x = 2,100.39

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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.