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Finding the Fourth Proportional to 3,111.69, 4,667.36 and 1,262.31

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Solution

The fourth proportional to 3,111.69, 4,667.36 and 1,262.31 is: 1,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.69 : 4,667.36 = 1,262.31 : x
  2. Step 2: Convert to fraction form
    3,111.69/4,667.36 = 1,262.31/x
  3. Step 3: Cross multiply
    3,111.69x = 4,667.36 × 1,262.31
  4. Step 4: Simplify right side
    3,111.69x = 5,891,648.89
  5. Step 5: Solve for x
    x = 5,891,648.89/3,111.69
  6. Step 6: Final answer
    x = 1,893.39

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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.