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Finding the Fourth Proportional to 1,394.02, 2,078.85 and 1,221.49

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Solution

The fourth proportional to 1,394.02, 2,078.85 and 1,221.49 is: 1,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.02 : 2,078.85 = 1,221.49 : x
  2. Step 2: Convert to fraction form
    1,394.02/2,078.85 = 1,221.49/x
  3. Step 3: Cross multiply
    1,394.02x = 2,078.85 × 1,221.49
  4. Step 4: Simplify right side
    1,394.02x = 2,539,294.49
  5. Step 5: Solve for x
    x = 2,539,294.49/1,394.02
  6. Step 6: Final answer
    x = 1,821.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.