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Finding the Fourth Proportional to 2,522.94, 3,781.97 and 1,352.08

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Solution

The fourth proportional to 2,522.94, 3,781.97 and 1,352.08 is: 2,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.94 : 3,781.97 = 1,352.08 : x
  2. Step 2: Convert to fraction form
    2,522.94/3,781.97 = 1,352.08/x
  3. Step 3: Cross multiply
    2,522.94x = 3,781.97 × 1,352.08
  4. Step 4: Simplify right side
    2,522.94x = 5,113,526.00
  5. Step 5: Solve for x
    x = 5,113,526.00/2,522.94
  6. Step 6: Final answer
    x = 2,026.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.