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Finding the Fourth Proportional to 2,761.80, 4,130.70 and 2,471.40

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Solution

The fourth proportional to 2,761.80, 4,130.70 and 2,471.40 is: 3,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.80 : 4,130.70 = 2,471.40 : x
  2. Step 2: Convert to fraction form
    2,761.80/4,130.70 = 2,471.40/x
  3. Step 3: Cross multiply
    2,761.80x = 4,130.70 × 2,471.40
  4. Step 4: Simplify right side
    2,761.80x = 10,208,611.98
  5. Step 5: Solve for x
    x = 10,208,611.98/2,761.80
  6. Step 6: Final answer
    x = 3,696.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.