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Finding the Fourth Proportional to 1,983.93, 2,975.95 and 944.04

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Solution

The fourth proportional to 1,983.93, 2,975.95 and 944.04 is: 1,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.93 : 2,975.95 = 944.04 : x
  2. Step 2: Convert to fraction form
    1,983.93/2,975.95 = 944.04/x
  3. Step 3: Cross multiply
    1,983.93x = 2,975.95 × 944.04
  4. Step 4: Simplify right side
    1,983.93x = 2,809,415.84
  5. Step 5: Solve for x
    x = 2,809,415.84/1,983.93
  6. Step 6: Final answer
    x = 1,416.09

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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.