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Finding the Fourth Proportional to 2,471.95, 3,724.60 and 2,042.80

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Solution

The fourth proportional to 2,471.95, 3,724.60 and 2,042.80 is: 3,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.95 : 3,724.60 = 2,042.80 : x
  2. Step 2: Convert to fraction form
    2,471.95/3,724.60 = 2,042.80/x
  3. Step 3: Cross multiply
    2,471.95x = 3,724.60 × 2,042.80
  4. Step 4: Simplify right side
    2,471.95x = 7,608,623.24
  5. Step 5: Solve for x
    x = 7,608,623.24/2,471.95
  6. Step 6: Final answer
    x = 3,077.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.