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Finding the Fourth Proportional to 2,954.75, 4,077.54 and 1,628.51

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Solution

The fourth proportional to 2,954.75, 4,077.54 and 1,628.51 is: 2,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.75 : 4,077.54 = 1,628.51 : x
  2. Step 2: Convert to fraction form
    2,954.75/4,077.54 = 1,628.51/x
  3. Step 3: Cross multiply
    2,954.75x = 4,077.54 × 1,628.51
  4. Step 4: Simplify right side
    2,954.75x = 6,640,294.28
  5. Step 5: Solve for x
    x = 6,640,294.28/2,954.75
  6. Step 6: Final answer
    x = 2,247.33

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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.