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Finding the Fourth Proportional to 1,946.94, 2,920.38 and 486.09

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Solution

The fourth proportional to 1,946.94, 2,920.38 and 486.09 is: 729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.94 : 2,920.38 = 486.09 : x
  2. Step 2: Convert to fraction form
    1,946.94/2,920.38 = 486.09/x
  3. Step 3: Cross multiply
    1,946.94x = 2,920.38 × 486.09
  4. Step 4: Simplify right side
    1,946.94x = 1,419,567.51
  5. Step 5: Solve for x
    x = 1,419,567.51/1,946.94
  6. Step 6: Final answer
    x = 729.13

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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.