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Finding the Fourth Proportional to 3,083.67, 4,255.47 and 1,686.42

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Solution

The fourth proportional to 3,083.67, 4,255.47 and 1,686.42 is: 2,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.67 : 4,255.47 = 1,686.42 : x
  2. Step 2: Convert to fraction form
    3,083.67/4,255.47 = 1,686.42/x
  3. Step 3: Cross multiply
    3,083.67x = 4,255.47 × 1,686.42
  4. Step 4: Simplify right side
    3,083.67x = 7,176,509.72
  5. Step 5: Solve for x
    x = 7,176,509.72/3,083.67
  6. Step 6: Final answer
    x = 2,327.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.