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Finding the Fourth Proportional to 2,696.49, 4,045.24 and 941.93

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Solution

The fourth proportional to 2,696.49, 4,045.24 and 941.93 is: 1,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.49 : 4,045.24 = 941.93 : x
  2. Step 2: Convert to fraction form
    2,696.49/4,045.24 = 941.93/x
  3. Step 3: Cross multiply
    2,696.49x = 4,045.24 × 941.93
  4. Step 4: Simplify right side
    2,696.49x = 3,810,329.03
  5. Step 5: Solve for x
    x = 3,810,329.03/2,696.49
  6. Step 6: Final answer
    x = 1,413.07

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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.