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Finding the Fourth Proportional to 2,683.58, 4,022.62 and 1,124.49

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Solution

The fourth proportional to 2,683.58, 4,022.62 and 1,124.49 is: 1,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.58 : 4,022.62 = 1,124.49 : x
  2. Step 2: Convert to fraction form
    2,683.58/4,022.62 = 1,124.49/x
  3. Step 3: Cross multiply
    2,683.58x = 4,022.62 × 1,124.49
  4. Step 4: Simplify right side
    2,683.58x = 4,523,382.28
  5. Step 5: Solve for x
    x = 4,523,382.28/2,683.58
  6. Step 6: Final answer
    x = 1,685.58

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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.