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Finding the Fourth Proportional to 2,104.16, 2,903.84 and 1,219.88

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Solution

The fourth proportional to 2,104.16, 2,903.84 and 1,219.88 is: 1,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.16 : 2,903.84 = 1,219.88 : x
  2. Step 2: Convert to fraction form
    2,104.16/2,903.84 = 1,219.88/x
  3. Step 3: Cross multiply
    2,104.16x = 2,903.84 × 1,219.88
  4. Step 4: Simplify right side
    2,104.16x = 3,542,336.34
  5. Step 5: Solve for x
    x = 3,542,336.34/2,104.16
  6. Step 6: Final answer
    x = 1,683.49

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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.