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Finding the Fourth Proportional to 1,946.97, 2,920.37 and 486.05

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Solution

The fourth proportional to 1,946.97, 2,920.37 and 486.05 is: 729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.97 : 2,920.37 = 486.05 : x
  2. Step 2: Convert to fraction form
    1,946.97/2,920.37 = 486.05/x
  3. Step 3: Cross multiply
    1,946.97x = 2,920.37 × 486.05
  4. Step 4: Simplify right side
    1,946.97x = 1,419,428.81
  5. Step 5: Solve for x
    x = 1,419,428.81/1,946.97
  6. Step 6: Final answer
    x = 729.05

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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.