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Finding the Fourth Proportional to 1,749.08, 2,413.76 and 963.12

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Solution

The fourth proportional to 1,749.08, 2,413.76 and 963.12 is: 1,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.08 : 2,413.76 = 963.12 : x
  2. Step 2: Convert to fraction form
    1,749.08/2,413.76 = 963.12/x
  3. Step 3: Cross multiply
    1,749.08x = 2,413.76 × 963.12
  4. Step 4: Simplify right side
    1,749.08x = 2,324,740.53
  5. Step 5: Solve for x
    x = 2,324,740.53/1,749.08
  6. Step 6: Final answer
    x = 1,329.12

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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.