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Finding the Fourth Proportional to 1,969.84, 2,951.57 and 927.37

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Solution

The fourth proportional to 1,969.84, 2,951.57 and 927.37 is: 1,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.84 : 2,951.57 = 927.37 : x
  2. Step 2: Convert to fraction form
    1,969.84/2,951.57 = 927.37/x
  3. Step 3: Cross multiply
    1,969.84x = 2,951.57 × 927.37
  4. Step 4: Simplify right side
    1,969.84x = 2,737,187.19
  5. Step 5: Solve for x
    x = 2,737,187.19/1,969.84
  6. Step 6: Final answer
    x = 1,389.55

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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.