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Finding the Fourth Proportional to 2,628.53, 3,941.42 and 779.39

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Solution

The fourth proportional to 2,628.53, 3,941.42 and 779.39 is: 1,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.53 : 3,941.42 = 779.39 : x
  2. Step 2: Convert to fraction form
    2,628.53/3,941.42 = 779.39/x
  3. Step 3: Cross multiply
    2,628.53x = 3,941.42 × 779.39
  4. Step 4: Simplify right side
    2,628.53x = 3,071,915.14
  5. Step 5: Solve for x
    x = 3,071,915.14/2,628.53
  6. Step 6: Final answer
    x = 1,168.68

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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.