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Finding the Fourth Proportional to 2,305.06, 3,461.23 and 2,055.98

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Solution

The fourth proportional to 2,305.06, 3,461.23 and 2,055.98 is: 3,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.06 : 3,461.23 = 2,055.98 : x
  2. Step 2: Convert to fraction form
    2,305.06/3,461.23 = 2,055.98/x
  3. Step 3: Cross multiply
    2,305.06x = 3,461.23 × 2,055.98
  4. Step 4: Simplify right side
    2,305.06x = 7,116,230.88
  5. Step 5: Solve for x
    x = 7,116,230.88/2,305.06
  6. Step 6: Final answer
    x = 3,087.22

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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.