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Finding the Fourth Proportional to 2,701.62, 3,727.76 and 1,522.26

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Solution

The fourth proportional to 2,701.62, 3,727.76 and 1,522.26 is: 2,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.62 : 3,727.76 = 1,522.26 : x
  2. Step 2: Convert to fraction form
    2,701.62/3,727.76 = 1,522.26/x
  3. Step 3: Cross multiply
    2,701.62x = 3,727.76 × 1,522.26
  4. Step 4: Simplify right side
    2,701.62x = 5,674,612.33
  5. Step 5: Solve for x
    x = 5,674,612.33/2,701.62
  6. Step 6: Final answer
    x = 2,100.45

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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.