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Finding the Fourth Proportional to 2,302.62, 3,451.23 and 1,133.16

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Solution

The fourth proportional to 2,302.62, 3,451.23 and 1,133.16 is: 1,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.62 : 3,451.23 = 1,133.16 : x
  2. Step 2: Convert to fraction form
    2,302.62/3,451.23 = 1,133.16/x
  3. Step 3: Cross multiply
    2,302.62x = 3,451.23 × 1,133.16
  4. Step 4: Simplify right side
    2,302.62x = 3,910,795.79
  5. Step 5: Solve for x
    x = 3,910,795.79/2,302.62
  6. Step 6: Final answer
    x = 1,698.41

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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.