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Finding the Fourth Proportional to 1,947.01, 2,920.52 and 486.16

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Solution

The fourth proportional to 1,947.01, 2,920.52 and 486.16 is: 729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.01 : 2,920.52 = 486.16 : x
  2. Step 2: Convert to fraction form
    1,947.01/2,920.52 = 486.16/x
  3. Step 3: Cross multiply
    1,947.01x = 2,920.52 × 486.16
  4. Step 4: Simplify right side
    1,947.01x = 1,419,837.57
  5. Step 5: Solve for x
    x = 1,419,837.57/1,947.01
  6. Step 6: Final answer
    x = 729.24

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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.