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Finding the Fourth Proportional to 2,300.22, 3,450.06 and 656.33

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Solution

The fourth proportional to 2,300.22, 3,450.06 and 656.33 is: 984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.22 : 3,450.06 = 656.33 : x
  2. Step 2: Convert to fraction form
    2,300.22/3,450.06 = 656.33/x
  3. Step 3: Cross multiply
    2,300.22x = 3,450.06 × 656.33
  4. Step 4: Simplify right side
    2,300.22x = 2,264,360.63
  5. Step 5: Solve for x
    x = 2,264,360.63/2,300.22
  6. Step 6: Final answer
    x = 984.41

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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.