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Finding the Fourth Proportional to 2,416.23, 3,622.23 and 855.99

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Solution

The fourth proportional to 2,416.23, 3,622.23 and 855.99 is: 1,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.23 : 3,622.23 = 855.99 : x
  2. Step 2: Convert to fraction form
    2,416.23/3,622.23 = 855.99/x
  3. Step 3: Cross multiply
    2,416.23x = 3,622.23 × 855.99
  4. Step 4: Simplify right side
    2,416.23x = 3,100,592.66
  5. Step 5: Solve for x
    x = 3,100,592.66/2,416.23
  6. Step 6: Final answer
    x = 1,283.24

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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.