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Finding the Fourth Proportional to 3,122.95, 4,309.77 and 1,796.98

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Solution

The fourth proportional to 3,122.95, 4,309.77 and 1,796.98 is: 2,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.95 : 4,309.77 = 1,796.98 : x
  2. Step 2: Convert to fraction form
    3,122.95/4,309.77 = 1,796.98/x
  3. Step 3: Cross multiply
    3,122.95x = 4,309.77 × 1,796.98
  4. Step 4: Simplify right side
    3,122.95x = 7,744,570.49
  5. Step 5: Solve for x
    x = 7,744,570.49/3,122.95
  6. Step 6: Final answer
    x = 2,479.89

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