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Finding the Fourth Proportional to 1,961.84, 2,939.45 and 973.34

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Solution

The fourth proportional to 1,961.84, 2,939.45 and 973.34 is: 1,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.84 : 2,939.45 = 973.34 : x
  2. Step 2: Convert to fraction form
    1,961.84/2,939.45 = 973.34/x
  3. Step 3: Cross multiply
    1,961.84x = 2,939.45 × 973.34
  4. Step 4: Simplify right side
    1,961.84x = 2,861,064.70
  5. Step 5: Solve for x
    x = 2,861,064.70/1,961.84
  6. Step 6: Final answer
    x = 1,458.36

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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.