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Finding the Fourth Proportional to 2,300.15, 3,450.19 and 568.78

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Solution

The fourth proportional to 2,300.15, 3,450.19 and 568.78 is: 853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.15 : 3,450.19 = 568.78 : x
  2. Step 2: Convert to fraction form
    2,300.15/3,450.19 = 568.78/x
  3. Step 3: Cross multiply
    2,300.15x = 3,450.19 × 568.78
  4. Step 4: Simplify right side
    2,300.15x = 1,962,399.07
  5. Step 5: Solve for x
    x = 1,962,399.07/2,300.15
  6. Step 6: Final answer
    x = 853.16

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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.