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Finding the Fourth Proportional to 2,307.54, 3,467.49 and 1,212.69

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Solution

The fourth proportional to 2,307.54, 3,467.49 and 1,212.69 is: 1,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.54 : 3,467.49 = 1,212.69 : x
  2. Step 2: Convert to fraction form
    2,307.54/3,467.49 = 1,212.69/x
  3. Step 3: Cross multiply
    2,307.54x = 3,467.49 × 1,212.69
  4. Step 4: Simplify right side
    2,307.54x = 4,204,990.45
  5. Step 5: Solve for x
    x = 4,204,990.45/2,307.54
  6. Step 6: Final answer
    x = 1,822.28

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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.