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Finding the Fourth Proportional to 1,622.08, 2,433.69 and 800.94

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Solution

The fourth proportional to 1,622.08, 2,433.69 and 800.94 is: 1,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.08 : 2,433.69 = 800.94 : x
  2. Step 2: Convert to fraction form
    1,622.08/2,433.69 = 800.94/x
  3. Step 3: Cross multiply
    1,622.08x = 2,433.69 × 800.94
  4. Step 4: Simplify right side
    1,622.08x = 1,949,239.67
  5. Step 5: Solve for x
    x = 1,949,239.67/1,622.08
  6. Step 6: Final answer
    x = 1,201.69

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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.