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Finding the Fourth Proportional to 2,731.74, 4,097.73 and 1,172.22

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Solution

The fourth proportional to 2,731.74, 4,097.73 and 1,172.22 is: 1,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.74 : 4,097.73 = 1,172.22 : x
  2. Step 2: Convert to fraction form
    2,731.74/4,097.73 = 1,172.22/x
  3. Step 3: Cross multiply
    2,731.74x = 4,097.73 × 1,172.22
  4. Step 4: Simplify right side
    2,731.74x = 4,803,441.06
  5. Step 5: Solve for x
    x = 4,803,441.06/2,731.74
  6. Step 6: Final answer
    x = 1,758.38

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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.