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Finding the Fourth Proportional to 2,274.99, 3,141.59 and 2,152.23

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Solution

The fourth proportional to 2,274.99, 3,141.59 and 2,152.23 is: 2,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.99 : 3,141.59 = 2,152.23 : x
  2. Step 2: Convert to fraction form
    2,274.99/3,141.59 = 2,152.23/x
  3. Step 3: Cross multiply
    2,274.99x = 3,141.59 × 2,152.23
  4. Step 4: Simplify right side
    2,274.99x = 6,761,413.48
  5. Step 5: Solve for x
    x = 6,761,413.48/2,274.99
  6. Step 6: Final answer
    x = 2,972.06

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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.