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Finding the Fourth Proportional to 1,622.28, 2,433.12 and 468.12

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Solution

The fourth proportional to 1,622.28, 2,433.12 and 468.12 is: 702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.28 : 2,433.12 = 468.12 : x
  2. Step 2: Convert to fraction form
    1,622.28/2,433.12 = 468.12/x
  3. Step 3: Cross multiply
    1,622.28x = 2,433.12 × 468.12
  4. Step 4: Simplify right side
    1,622.28x = 1,138,992.13
  5. Step 5: Solve for x
    x = 1,138,992.13/1,622.28
  6. Step 6: Final answer
    x = 702.09

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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.