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Finding the Fourth Proportional to 2,522.64, 3,786.16 and 984.72

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Solution

The fourth proportional to 2,522.64, 3,786.16 and 984.72 is: 1,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.64 : 3,786.16 = 984.72 : x
  2. Step 2: Convert to fraction form
    2,522.64/3,786.16 = 984.72/x
  3. Step 3: Cross multiply
    2,522.64x = 3,786.16 × 984.72
  4. Step 4: Simplify right side
    2,522.64x = 3,728,307.48
  5. Step 5: Solve for x
    x = 3,728,307.48/2,522.64
  6. Step 6: Final answer
    x = 1,477.94

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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.