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Finding the Fourth Proportional to 2,954.84, 4,077.52 and 1,628.51

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Solution

The fourth proportional to 2,954.84, 4,077.52 and 1,628.51 is: 2,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.84 : 4,077.52 = 1,628.51 : x
  2. Step 2: Convert to fraction form
    2,954.84/4,077.52 = 1,628.51/x
  3. Step 3: Cross multiply
    2,954.84x = 4,077.52 × 1,628.51
  4. Step 4: Simplify right side
    2,954.84x = 6,640,282.10
  5. Step 5: Solve for x
    x = 6,640,282.10/2,954.84
  6. Step 6: Final answer
    x = 2,247.26

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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.