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Finding the Fourth Proportional to 2,690.96, 3,713.72 and 1,512.24

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Solution

The fourth proportional to 2,690.96, 3,713.72 and 1,512.24 is: 2,087.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.96 : 3,713.72 = 1,512.24 : x
  2. Step 2: Convert to fraction form
    2,690.96/3,713.72 = 1,512.24/x
  3. Step 3: Cross multiply
    2,690.96x = 3,713.72 × 1,512.24
  4. Step 4: Simplify right side
    2,690.96x = 5,616,035.93
  5. Step 5: Solve for x
    x = 5,616,035.93/2,690.96
  6. Step 6: Final answer
    x = 2,087.00

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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.