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Finding the Fourth Proportional to 2,211.27, 3,316.49 and 894.95

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Solution

The fourth proportional to 2,211.27, 3,316.49 and 894.95 is: 1,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.27 : 3,316.49 = 894.95 : x
  2. Step 2: Convert to fraction form
    2,211.27/3,316.49 = 894.95/x
  3. Step 3: Cross multiply
    2,211.27x = 3,316.49 × 894.95
  4. Step 4: Simplify right side
    2,211.27x = 2,968,071.67
  5. Step 5: Solve for x
    x = 2,968,071.67/2,211.27
  6. Step 6: Final answer
    x = 1,342.25

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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.