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Finding the Fourth Proportional to 2,522.64, 3,494.73 and 2,462.16

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Solution

The fourth proportional to 2,522.64, 3,494.73 and 2,462.16 is: 3,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.64 : 3,494.73 = 2,462.16 : x
  2. Step 2: Convert to fraction form
    2,522.64/3,494.73 = 2,462.16/x
  3. Step 3: Cross multiply
    2,522.64x = 3,494.73 × 2,462.16
  4. Step 4: Simplify right side
    2,522.64x = 8,604,584.42
  5. Step 5: Solve for x
    x = 8,604,584.42/2,522.64
  6. Step 6: Final answer
    x = 3,410.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.