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Finding the Fourth Proportional to 2,701.68, 3,728.34 and 1,522.77

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Solution

The fourth proportional to 2,701.68, 3,728.34 and 1,522.77 is: 2,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.68 : 3,728.34 = 1,522.77 : x
  2. Step 2: Convert to fraction form
    2,701.68/3,728.34 = 1,522.77/x
  3. Step 3: Cross multiply
    2,701.68x = 3,728.34 × 1,522.77
  4. Step 4: Simplify right side
    2,701.68x = 5,677,404.30
  5. Step 5: Solve for x
    x = 5,677,404.30/2,701.68
  6. Step 6: Final answer
    x = 2,101.43

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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.