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Finding the Fourth Proportional to 2,172.99, 3,260.70 and 1,077.06

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Solution

The fourth proportional to 2,172.99, 3,260.70 and 1,077.06 is: 1,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.99 : 3,260.70 = 1,077.06 : x
  2. Step 2: Convert to fraction form
    2,172.99/3,260.70 = 1,077.06/x
  3. Step 3: Cross multiply
    2,172.99x = 3,260.70 × 1,077.06
  4. Step 4: Simplify right side
    2,172.99x = 3,511,969.54
  5. Step 5: Solve for x
    x = 3,511,969.54/2,172.99
  6. Step 6: Final answer
    x = 1,616.19

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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.