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Finding the Fourth Proportional to 1,322.55, 1,826.01 and 1,182.22

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Solution

The fourth proportional to 1,322.55, 1,826.01 and 1,182.22 is: 1,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.55 : 1,826.01 = 1,182.22 : x
  2. Step 2: Convert to fraction form
    1,322.55/1,826.01 = 1,182.22/x
  3. Step 3: Cross multiply
    1,322.55x = 1,826.01 × 1,182.22
  4. Step 4: Simplify right side
    1,322.55x = 2,158,745.54
  5. Step 5: Solve for x
    x = 2,158,745.54/1,322.55
  6. Step 6: Final answer
    x = 1,632.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.