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Finding the Fourth Proportional to 1,822.36, 2,516.04 and 1,201.72

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Solution

The fourth proportional to 1,822.36, 2,516.04 and 1,201.72 is: 1,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.36 : 2,516.04 = 1,201.72 : x
  2. Step 2: Convert to fraction form
    1,822.36/2,516.04 = 1,201.72/x
  3. Step 3: Cross multiply
    1,822.36x = 2,516.04 × 1,201.72
  4. Step 4: Simplify right side
    1,822.36x = 3,023,575.59
  5. Step 5: Solve for x
    x = 3,023,575.59/1,822.36
  6. Step 6: Final answer
    x = 1,659.15

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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.