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Finding the Fourth Proportional to 2,155.72, 3,233.80 and 1,322.36

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Solution

The fourth proportional to 2,155.72, 3,233.80 and 1,322.36 is: 1,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.72 : 3,233.80 = 1,322.36 : x
  2. Step 2: Convert to fraction form
    2,155.72/3,233.80 = 1,322.36/x
  3. Step 3: Cross multiply
    2,155.72x = 3,233.80 × 1,322.36
  4. Step 4: Simplify right side
    2,155.72x = 4,276,247.77
  5. Step 5: Solve for x
    x = 4,276,247.77/2,155.72
  6. Step 6: Final answer
    x = 1,983.67

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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.