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Finding the Fourth Proportional to 1,965.29, 2,947.88 and 504.45

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Solution

The fourth proportional to 1,965.29, 2,947.88 and 504.45 is: 756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.29 : 2,947.88 = 504.45 : x
  2. Step 2: Convert to fraction form
    1,965.29/2,947.88 = 504.45/x
  3. Step 3: Cross multiply
    1,965.29x = 2,947.88 × 504.45
  4. Step 4: Simplify right side
    1,965.29x = 1,487,059.33
  5. Step 5: Solve for x
    x = 1,487,059.33/1,965.29
  6. Step 6: Final answer
    x = 756.66

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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.