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Finding the Fourth Proportional to 2,683.67, 4,024.72 and 1,039.85

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Solution

The fourth proportional to 2,683.67, 4,024.72 and 1,039.85 is: 1,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.67 : 4,024.72 = 1,039.85 : x
  2. Step 2: Convert to fraction form
    2,683.67/4,024.72 = 1,039.85/x
  3. Step 3: Cross multiply
    2,683.67x = 4,024.72 × 1,039.85
  4. Step 4: Simplify right side
    2,683.67x = 4,185,105.09
  5. Step 5: Solve for x
    x = 4,185,105.09/2,683.67
  6. Step 6: Final answer
    x = 1,559.47

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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.