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Finding the Fourth Proportional to 2,522.64, 3,784.56 and 791.26

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Solution

The fourth proportional to 2,522.64, 3,784.56 and 791.26 is: 1,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.64 : 3,784.56 = 791.26 : x
  2. Step 2: Convert to fraction form
    2,522.64/3,784.56 = 791.26/x
  3. Step 3: Cross multiply
    2,522.64x = 3,784.56 × 791.26
  4. Step 4: Simplify right side
    2,522.64x = 2,994,570.95
  5. Step 5: Solve for x
    x = 2,994,570.95/2,522.64
  6. Step 6: Final answer
    x = 1,187.08

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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.