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Finding the Fourth Proportional to 1,965.53, 2,947.83 and 578.49

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Solution

The fourth proportional to 1,965.53, 2,947.83 and 578.49 is: 867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.53 : 2,947.83 = 578.49 : x
  2. Step 2: Convert to fraction form
    1,965.53/2,947.83 = 578.49/x
  3. Step 3: Cross multiply
    1,965.53x = 2,947.83 × 578.49
  4. Step 4: Simplify right side
    1,965.53x = 1,705,293.53
  5. Step 5: Solve for x
    x = 1,705,293.53/1,965.53
  6. Step 6: Final answer
    x = 867.60

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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.