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Finding the Fourth Proportional to 1,965.33, 2,947.55 and 578.76

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Solution

The fourth proportional to 1,965.33, 2,947.55 and 578.76 is: 868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.33 : 2,947.55 = 578.76 : x
  2. Step 2: Convert to fraction form
    1,965.33/2,947.55 = 578.76/x
  3. Step 3: Cross multiply
    1,965.33x = 2,947.55 × 578.76
  4. Step 4: Simplify right side
    1,965.33x = 1,705,906.41
  5. Step 5: Solve for x
    x = 1,705,906.41/1,965.33
  6. Step 6: Final answer
    x = 868.00

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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.