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Finding the Fourth Proportional to 1,983.95, 2,975.78 and 829.70

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Solution

The fourth proportional to 1,983.95, 2,975.78 and 829.70 is: 1,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.95 : 2,975.78 = 829.70 : x
  2. Step 2: Convert to fraction form
    1,983.95/2,975.78 = 829.70/x
  3. Step 3: Cross multiply
    1,983.95x = 2,975.78 × 829.70
  4. Step 4: Simplify right side
    1,983.95x = 2,468,985.64
  5. Step 5: Solve for x
    x = 2,468,985.64/1,983.95
  6. Step 6: Final answer
    x = 1,244.48

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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.