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Finding the Fourth Proportional to 2,211.41, 3,316.59 and 650.99

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Solution

The fourth proportional to 2,211.41, 3,316.59 and 650.99 is: 976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.41 : 3,316.59 = 650.99 : x
  2. Step 2: Convert to fraction form
    2,211.41/3,316.59 = 650.99/x
  3. Step 3: Cross multiply
    2,211.41x = 3,316.59 × 650.99
  4. Step 4: Simplify right side
    2,211.41x = 2,159,065.95
  5. Step 5: Solve for x
    x = 2,159,065.95/2,211.41
  6. Step 6: Final answer
    x = 976.33

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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.