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Finding the Fourth Proportional to 2,690.92, 3,713.47 and 1,512.37

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Solution

The fourth proportional to 2,690.92, 3,713.47 and 1,512.37 is: 2,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.92 : 3,713.47 = 1,512.37 : x
  2. Step 2: Convert to fraction form
    2,690.92/3,713.47 = 1,512.37/x
  3. Step 3: Cross multiply
    2,690.92x = 3,713.47 × 1,512.37
  4. Step 4: Simplify right side
    2,690.92x = 5,616,140.62
  5. Step 5: Solve for x
    x = 5,616,140.62/2,690.92
  6. Step 6: Final answer
    x = 2,087.07

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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.