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Finding the Fourth Proportional to 2,683.41, 3,701.61 and 1,563.99

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Solution

The fourth proportional to 2,683.41, 3,701.61 and 1,563.99 is: 2,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.41 : 3,701.61 = 1,563.99 : x
  2. Step 2: Convert to fraction form
    2,683.41/3,701.61 = 1,563.99/x
  3. Step 3: Cross multiply
    2,683.41x = 3,701.61 × 1,563.99
  4. Step 4: Simplify right side
    2,683.41x = 5,789,281.02
  5. Step 5: Solve for x
    x = 5,789,281.02/2,683.41
  6. Step 6: Final answer
    x = 2,157.43

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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.