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Finding the Fourth Proportional to 2,825.69, 4,239.42 and 1,267

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Solution

The fourth proportional to 2,825.69, 4,239.42 and 1,267 is: 1,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.69 : 4,239.42 = 1,267 : x
  2. Step 2: Convert to fraction form
    2,825.69/4,239.42 = 1,267/x
  3. Step 3: Cross multiply
    2,825.69x = 4,239.42 × 1,267
  4. Step 4: Simplify right side
    2,825.69x = 5,371,345.14
  5. Step 5: Solve for x
    x = 5,371,345.14/2,825.69
  6. Step 6: Final answer
    x = 1,900.90

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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.