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Finding the Fourth Proportional to 1,929.43, 2,661.96 and 1,266.22

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Solution

The fourth proportional to 1,929.43, 2,661.96 and 1,266.22 is: 1,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.43 : 2,661.96 = 1,266.22 : x
  2. Step 2: Convert to fraction form
    1,929.43/2,661.96 = 1,266.22/x
  3. Step 3: Cross multiply
    1,929.43x = 2,661.96 × 1,266.22
  4. Step 4: Simplify right side
    1,929.43x = 3,370,626.99
  5. Step 5: Solve for x
    x = 3,370,626.99/1,929.43
  6. Step 6: Final answer
    x = 1,746.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.