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Finding the Fourth Proportional to 2,683.74, 3,704.56 and 2,403.48

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Solution

The fourth proportional to 2,683.74, 3,704.56 and 2,403.48 is: 3,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.74 : 3,704.56 = 2,403.48 : x
  2. Step 2: Convert to fraction form
    2,683.74/3,704.56 = 2,403.48/x
  3. Step 3: Cross multiply
    2,683.74x = 3,704.56 × 2,403.48
  4. Step 4: Simplify right side
    2,683.74x = 8,903,835.87
  5. Step 5: Solve for x
    x = 8,903,835.87/2,683.74
  6. Step 6: Final answer
    x = 3,317.70

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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.