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Finding the Fourth Proportional to 1,984.98, 2,975.34 and 873.42

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Solution

The fourth proportional to 1,984.98, 2,975.34 and 873.42 is: 1,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.98 : 2,975.34 = 873.42 : x
  2. Step 2: Convert to fraction form
    1,984.98/2,975.34 = 873.42/x
  3. Step 3: Cross multiply
    1,984.98x = 2,975.34 × 873.42
  4. Step 4: Simplify right side
    1,984.98x = 2,598,713.58
  5. Step 5: Solve for x
    x = 2,598,713.58/1,984.98
  6. Step 6: Final answer
    x = 1,309.19

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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.