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Finding the Fourth Proportional to 2,746.97, 3,790.68 and 1,628

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Solution

The fourth proportional to 2,746.97, 3,790.68 and 1,628 is: 2,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.97 : 3,790.68 = 1,628 : x
  2. Step 2: Convert to fraction form
    2,746.97/3,790.68 = 1,628/x
  3. Step 3: Cross multiply
    2,746.97x = 3,790.68 × 1,628
  4. Step 4: Simplify right side
    2,746.97x = 6,171,227.04
  5. Step 5: Solve for x
    x = 6,171,227.04/2,746.97
  6. Step 6: Final answer
    x = 2,246.56

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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.