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Finding the Fourth Proportional to 2,683.60, 3,706.37 and 1,846.87

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Solution

The fourth proportional to 2,683.60, 3,706.37 and 1,846.87 is: 2,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.60 : 3,706.37 = 1,846.87 : x
  2. Step 2: Convert to fraction form
    2,683.60/3,706.37 = 1,846.87/x
  3. Step 3: Cross multiply
    2,683.60x = 3,706.37 × 1,846.87
  4. Step 4: Simplify right side
    2,683.60x = 6,845,183.56
  5. Step 5: Solve for x
    x = 6,845,183.56/2,683.60
  6. Step 6: Final answer
    x = 2,550.75

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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.