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Finding the Fourth Proportional to 1,683.43, 2,519.94 and 1,539.90

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Solution

The fourth proportional to 1,683.43, 2,519.94 and 1,539.90 is: 2,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.43 : 2,519.94 = 1,539.90 : x
  2. Step 2: Convert to fraction form
    1,683.43/2,519.94 = 1,539.90/x
  3. Step 3: Cross multiply
    1,683.43x = 2,519.94 × 1,539.90
  4. Step 4: Simplify right side
    1,683.43x = 3,880,455.61
  5. Step 5: Solve for x
    x = 3,880,455.61/1,683.43
  6. Step 6: Final answer
    x = 2,305.09

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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.