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Finding the Fourth Proportional to 1,947.18, 2,921.20 and 777.24

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Solution

The fourth proportional to 1,947.18, 2,921.20 and 777.24 is: 1,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.18 : 2,921.20 = 777.24 : x
  2. Step 2: Convert to fraction form
    1,947.18/2,921.20 = 777.24/x
  3. Step 3: Cross multiply
    1,947.18x = 2,921.20 × 777.24
  4. Step 4: Simplify right side
    1,947.18x = 2,270,473.49
  5. Step 5: Solve for x
    x = 2,270,473.49/1,947.18
  6. Step 6: Final answer
    x = 1,166.03

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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.