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Finding the Fourth Proportional to 2,683.42, 4,020.79 and 1,451.41

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Solution

The fourth proportional to 2,683.42, 4,020.79 and 1,451.41 is: 2,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.42 : 4,020.79 = 1,451.41 : x
  2. Step 2: Convert to fraction form
    2,683.42/4,020.79 = 1,451.41/x
  3. Step 3: Cross multiply
    2,683.42x = 4,020.79 × 1,451.41
  4. Step 4: Simplify right side
    2,683.42x = 5,835,814.81
  5. Step 5: Solve for x
    x = 5,835,814.81/2,683.42
  6. Step 6: Final answer
    x = 2,174.77

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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.