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Finding the Fourth Proportional to 2,300.69, 3,450.62 and 657.33

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Solution

The fourth proportional to 2,300.69, 3,450.62 and 657.33 is: 985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.69 : 3,450.62 = 657.33 : x
  2. Step 2: Convert to fraction form
    2,300.69/3,450.62 = 657.33/x
  3. Step 3: Cross multiply
    2,300.69x = 3,450.62 × 657.33
  4. Step 4: Simplify right side
    2,300.69x = 2,268,192.76
  5. Step 5: Solve for x
    x = 2,268,192.76/2,300.69
  6. Step 6: Final answer
    x = 985.88

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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.