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Finding the Fourth Proportional to 2,522.32, 3,784.57 and 877.97

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Solution

The fourth proportional to 2,522.32, 3,784.57 and 877.97 is: 1,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.32 : 3,784.57 = 877.97 : x
  2. Step 2: Convert to fraction form
    2,522.32/3,784.57 = 877.97/x
  3. Step 3: Cross multiply
    2,522.32x = 3,784.57 × 877.97
  4. Step 4: Simplify right side
    2,522.32x = 3,322,738.92
  5. Step 5: Solve for x
    x = 3,322,738.92/2,522.32
  6. Step 6: Final answer
    x = 1,317.33

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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.