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Finding the Fourth Proportional to 1,983.84, 2,975.76 and 829.44

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Solution

The fourth proportional to 1,983.84, 2,975.76 and 829.44 is: 1,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.84 : 2,975.76 = 829.44 : x
  2. Step 2: Convert to fraction form
    1,983.84/2,975.76 = 829.44/x
  3. Step 3: Cross multiply
    1,983.84x = 2,975.76 × 829.44
  4. Step 4: Simplify right side
    1,983.84x = 2,468,214.37
  5. Step 5: Solve for x
    x = 2,468,214.37/1,983.84
  6. Step 6: Final answer
    x = 1,244.16

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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.