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Finding the Fourth Proportional to 1,413.63, 1,949.94 and 941.49

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Solution

The fourth proportional to 1,413.63, 1,949.94 and 941.49 is: 1,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.63 : 1,949.94 = 941.49 : x
  2. Step 2: Convert to fraction form
    1,413.63/1,949.94 = 941.49/x
  3. Step 3: Cross multiply
    1,413.63x = 1,949.94 × 941.49
  4. Step 4: Simplify right side
    1,413.63x = 1,835,849.01
  5. Step 5: Solve for x
    x = 1,835,849.01/1,413.63
  6. Step 6: Final answer
    x = 1,298.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.