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Finding the Fourth Proportional to 1,352.64, 2,025.01 and 1,222.94

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Solution

The fourth proportional to 1,352.64, 2,025.01 and 1,222.94 is: 1,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.64 : 2,025.01 = 1,222.94 : x
  2. Step 2: Convert to fraction form
    1,352.64/2,025.01 = 1,222.94/x
  3. Step 3: Cross multiply
    1,352.64x = 2,025.01 × 1,222.94
  4. Step 4: Simplify right side
    1,352.64x = 2,476,454.05
  5. Step 5: Solve for x
    x = 2,476,454.05/1,352.64
  6. Step 6: Final answer
    x = 1,830.83

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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.