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Finding the Fourth Proportional to 2,214, 3,055.23 and 1,219.26

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Solution

The fourth proportional to 2,214, 3,055.23 and 1,219.26 is: 1,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 3,055.23 = 1,219.26 : x
  2. Step 2: Convert to fraction form
    2,214/3,055.23 = 1,219.26/x
  3. Step 3: Cross multiply
    2,214x = 3,055.23 × 1,219.26
  4. Step 4: Simplify right side
    2,214x = 3,725,119.73
  5. Step 5: Solve for x
    x = 3,725,119.73/2,214
  6. Step 6: Final answer
    x = 1,682.53

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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.