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Finding the Fourth Proportional to 2,271.26, 3,406.25 and 627.41

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Solution

The fourth proportional to 2,271.26, 3,406.25 and 627.41 is: 940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.26 : 3,406.25 = 627.41 : x
  2. Step 2: Convert to fraction form
    2,271.26/3,406.25 = 627.41/x
  3. Step 3: Cross multiply
    2,271.26x = 3,406.25 × 627.41
  4. Step 4: Simplify right side
    2,271.26x = 2,137,095.14
  5. Step 5: Solve for x
    x = 2,137,095.14/2,271.26
  6. Step 6: Final answer
    x = 940.93

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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.