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Finding the Fourth Proportional to 1,963.98, 2,947.59 and 810.54

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Solution

The fourth proportional to 1,963.98, 2,947.59 and 810.54 is: 1,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.98 : 2,947.59 = 810.54 : x
  2. Step 2: Convert to fraction form
    1,963.98/2,947.59 = 810.54/x
  3. Step 3: Cross multiply
    1,963.98x = 2,947.59 × 810.54
  4. Step 4: Simplify right side
    1,963.98x = 2,389,139.60
  5. Step 5: Solve for x
    x = 2,389,139.60/1,963.98
  6. Step 6: Final answer
    x = 1,216.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.