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Finding the Fourth Proportional to 1,880.94, 2,596.98 and 1,173.06

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Solution

The fourth proportional to 1,880.94, 2,596.98 and 1,173.06 is: 1,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.94 : 2,596.98 = 1,173.06 : x
  2. Step 2: Convert to fraction form
    1,880.94/2,596.98 = 1,173.06/x
  3. Step 3: Cross multiply
    1,880.94x = 2,596.98 × 1,173.06
  4. Step 4: Simplify right side
    1,880.94x = 3,046,413.36
  5. Step 5: Solve for x
    x = 3,046,413.36/1,880.94
  6. Step 6: Final answer
    x = 1,619.62

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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.