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Finding the Fourth Proportional to 1,984.95, 2,739.36 and 1,277.22

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Solution

The fourth proportional to 1,984.95, 2,739.36 and 1,277.22 is: 1,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.95 : 2,739.36 = 1,277.22 : x
  2. Step 2: Convert to fraction form
    1,984.95/2,739.36 = 1,277.22/x
  3. Step 3: Cross multiply
    1,984.95x = 2,739.36 × 1,277.22
  4. Step 4: Simplify right side
    1,984.95x = 3,498,765.38
  5. Step 5: Solve for x
    x = 3,498,765.38/1,984.95
  6. Step 6: Final answer
    x = 1,762.65

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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.