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Finding the Fourth Proportional to 2,954.75, 4,077.54 and 1,628.37

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Solution

The fourth proportional to 2,954.75, 4,077.54 and 1,628.37 is: 2,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.75 : 4,077.54 = 1,628.37 : x
  2. Step 2: Convert to fraction form
    2,954.75/4,077.54 = 1,628.37/x
  3. Step 3: Cross multiply
    2,954.75x = 4,077.54 × 1,628.37
  4. Step 4: Simplify right side
    2,954.75x = 6,639,743.81
  5. Step 5: Solve for x
    x = 6,639,743.81/2,954.75
  6. Step 6: Final answer
    x = 2,247.15

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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.