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Finding the Fourth Proportional to 2,271.69, 3,405.08 and 1,099.22

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Solution

The fourth proportional to 2,271.69, 3,405.08 and 1,099.22 is: 1,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.69 : 3,405.08 = 1,099.22 : x
  2. Step 2: Convert to fraction form
    2,271.69/3,405.08 = 1,099.22/x
  3. Step 3: Cross multiply
    2,271.69x = 3,405.08 × 1,099.22
  4. Step 4: Simplify right side
    2,271.69x = 3,742,917.76
  5. Step 5: Solve for x
    x = 3,742,917.76/2,271.69
  6. Step 6: Final answer
    x = 1,647.64

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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.