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Finding the Fourth Proportional to 1,983.98, 2,732.32 and 1,940.92

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Solution

The fourth proportional to 1,983.98, 2,732.32 and 1,940.92 is: 2,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.98 : 2,732.32 = 1,940.92 : x
  2. Step 2: Convert to fraction form
    1,983.98/2,732.32 = 1,940.92/x
  3. Step 3: Cross multiply
    1,983.98x = 2,732.32 × 1,940.92
  4. Step 4: Simplify right side
    1,983.98x = 5,303,214.53
  5. Step 5: Solve for x
    x = 5,303,214.53/1,983.98
  6. Step 6: Final answer
    x = 2,673.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.