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Finding the Fourth Proportional to 1,748.94, 2,413.56 and 963.05

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Solution

The fourth proportional to 1,748.94, 2,413.56 and 963.05 is: 1,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.94 : 2,413.56 = 963.05 : x
  2. Step 2: Convert to fraction form
    1,748.94/2,413.56 = 963.05/x
  3. Step 3: Cross multiply
    1,748.94x = 2,413.56 × 963.05
  4. Step 4: Simplify right side
    1,748.94x = 2,324,366.89
  5. Step 5: Solve for x
    x = 2,324,366.89/1,748.94
  6. Step 6: Final answer
    x = 1,329.01

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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.