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Finding the Fourth Proportional to 2,271.96, 3,406.22 and 1,175.63

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Solution

The fourth proportional to 2,271.96, 3,406.22 and 1,175.63 is: 1,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.96 : 3,406.22 = 1,175.63 : x
  2. Step 2: Convert to fraction form
    2,271.96/3,406.22 = 1,175.63/x
  3. Step 3: Cross multiply
    2,271.96x = 3,406.22 × 1,175.63
  4. Step 4: Simplify right side
    2,271.96x = 4,004,431.51
  5. Step 5: Solve for x
    x = 4,004,431.51/2,271.96
  6. Step 6: Final answer
    x = 1,762.54

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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.