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Finding the Fourth Proportional to 1,616.74, 2,236.35 and 1,512.25

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Solution

The fourth proportional to 1,616.74, 2,236.35 and 1,512.25 is: 2,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.74 : 2,236.35 = 1,512.25 : x
  2. Step 2: Convert to fraction form
    1,616.74/2,236.35 = 1,512.25/x
  3. Step 3: Cross multiply
    1,616.74x = 2,236.35 × 1,512.25
  4. Step 4: Simplify right side
    1,616.74x = 3,381,920.29
  5. Step 5: Solve for x
    x = 3,381,920.29/1,616.74
  6. Step 6: Final answer
    x = 2,091.81

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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.