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Finding the Fourth Proportional to 2,300.21, 3,450.32 and 568.83

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Solution

The fourth proportional to 2,300.21, 3,450.32 and 568.83 is: 853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.21 : 3,450.32 = 568.83 : x
  2. Step 2: Convert to fraction form
    2,300.21/3,450.32 = 568.83/x
  3. Step 3: Cross multiply
    2,300.21x = 3,450.32 × 568.83
  4. Step 4: Simplify right side
    2,300.21x = 1,962,645.53
  5. Step 5: Solve for x
    x = 1,962,645.53/2,300.21
  6. Step 6: Final answer
    x = 853.25

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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.