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Finding the Fourth Proportional to 2,103.89, 2,903.31 and 1,219.64

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Solution

The fourth proportional to 2,103.89, 2,903.31 and 1,219.64 is: 1,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.89 : 2,903.31 = 1,219.64 : x
  2. Step 2: Convert to fraction form
    2,103.89/2,903.31 = 1,219.64/x
  3. Step 3: Cross multiply
    2,103.89x = 2,903.31 × 1,219.64
  4. Step 4: Simplify right side
    2,103.89x = 3,540,978.49
  5. Step 5: Solve for x
    x = 3,540,978.49/2,103.89
  6. Step 6: Final answer
    x = 1,683.07

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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.