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Finding the Fourth Proportional to 1,969, 2,952.14 and 873.34

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Solution

The fourth proportional to 1,969, 2,952.14 and 873.34 is: 1,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969 : 2,952.14 = 873.34 : x
  2. Step 2: Convert to fraction form
    1,969/2,952.14 = 873.34/x
  3. Step 3: Cross multiply
    1,969x = 2,952.14 × 873.34
  4. Step 4: Simplify right side
    1,969x = 2,578,221.95
  5. Step 5: Solve for x
    x = 2,578,221.95/1,969
  6. Step 6: Final answer
    x = 1,309.41

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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.