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Finding the Fourth Proportional to 2,683.80, 4,027.50 and 2,461.44

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Solution

The fourth proportional to 2,683.80, 4,027.50 and 2,461.44 is: 3,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.80 : 4,027.50 = 2,461.44 : x
  2. Step 2: Convert to fraction form
    2,683.80/4,027.50 = 2,461.44/x
  3. Step 3: Cross multiply
    2,683.80x = 4,027.50 × 2,461.44
  4. Step 4: Simplify right side
    2,683.80x = 9,913,449.60
  5. Step 5: Solve for x
    x = 9,913,449.60/2,683.80
  6. Step 6: Final answer
    x = 3,693.81

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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.