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Finding the Fourth Proportional to 2,103.37, 2,902.63 and 1,219.15

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Solution

The fourth proportional to 2,103.37, 2,902.63 and 1,219.15 is: 1,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.37 : 2,902.63 = 1,219.15 : x
  2. Step 2: Convert to fraction form
    2,103.37/2,902.63 = 1,219.15/x
  3. Step 3: Cross multiply
    2,103.37x = 2,902.63 × 1,219.15
  4. Step 4: Simplify right side
    2,103.37x = 3,538,741.36
  5. Step 5: Solve for x
    x = 3,538,741.36/2,103.37
  6. Step 6: Final answer
    x = 1,682.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.