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Finding the Fourth Proportional to 2,701.42, 3,727.89 and 1,522.57

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Solution

The fourth proportional to 2,701.42, 3,727.89 and 1,522.57 is: 2,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.42 : 3,727.89 = 1,522.57 : x
  2. Step 2: Convert to fraction form
    2,701.42/3,727.89 = 1,522.57/x
  3. Step 3: Cross multiply
    2,701.42x = 3,727.89 × 1,522.57
  4. Step 4: Simplify right side
    2,701.42x = 5,675,973.48
  5. Step 5: Solve for x
    x = 5,675,973.48/2,701.42
  6. Step 6: Final answer
    x = 2,101.11

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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.