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Finding the Fourth Proportional to 1,947.25, 2,921.19 and 649.03

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Solution

The fourth proportional to 1,947.25, 2,921.19 and 649.03 is: 973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.25 : 2,921.19 = 649.03 : x
  2. Step 2: Convert to fraction form
    1,947.25/2,921.19 = 649.03/x
  3. Step 3: Cross multiply
    1,947.25x = 2,921.19 × 649.03
  4. Step 4: Simplify right side
    1,947.25x = 1,895,922.09
  5. Step 5: Solve for x
    x = 1,895,922.09/1,947.25
  6. Step 6: Final answer
    x = 973.64

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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.