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Finding the Fourth Proportional to 2,690.43, 3,708.23 and 2,052.15

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Solution

The fourth proportional to 2,690.43, 3,708.23 and 2,052.15 is: 2,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.43 : 3,708.23 = 2,052.15 : x
  2. Step 2: Convert to fraction form
    2,690.43/3,708.23 = 2,052.15/x
  3. Step 3: Cross multiply
    2,690.43x = 3,708.23 × 2,052.15
  4. Step 4: Simplify right side
    2,690.43x = 7,609,833.93
  5. Step 5: Solve for x
    x = 7,609,833.93/2,690.43
  6. Step 6: Final answer
    x = 2,828.48

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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.