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Finding the Fourth Proportional to 2,300.69, 3,450.46 and 657.25

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Solution

The fourth proportional to 2,300.69, 3,450.46 and 657.25 is: 985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.69 : 3,450.46 = 657.25 : x
  2. Step 2: Convert to fraction form
    2,300.69/3,450.46 = 657.25/x
  3. Step 3: Cross multiply
    2,300.69x = 3,450.46 × 657.25
  4. Step 4: Simplify right side
    2,300.69x = 2,267,794.30
  5. Step 5: Solve for x
    x = 2,267,794.30/2,300.69
  6. Step 6: Final answer
    x = 985.70

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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.