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Finding the Fourth Proportional to 2,214.49, 3,054.42 and 1,427.78

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Solution

The fourth proportional to 2,214.49, 3,054.42 and 1,427.78 is: 1,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.49 : 3,054.42 = 1,427.78 : x
  2. Step 2: Convert to fraction form
    2,214.49/3,054.42 = 1,427.78/x
  3. Step 3: Cross multiply
    2,214.49x = 3,054.42 × 1,427.78
  4. Step 4: Simplify right side
    2,214.49x = 4,361,039.79
  5. Step 5: Solve for x
    x = 4,361,039.79/2,214.49
  6. Step 6: Final answer
    x = 1,969.32

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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.