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Finding the Fourth Proportional to 2,872.95, 3,964.62 and 1,596.80

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Solution

The fourth proportional to 2,872.95, 3,964.62 and 1,596.80 is: 2,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.95 : 3,964.62 = 1,596.80 : x
  2. Step 2: Convert to fraction form
    2,872.95/3,964.62 = 1,596.80/x
  3. Step 3: Cross multiply
    2,872.95x = 3,964.62 × 1,596.80
  4. Step 4: Simplify right side
    2,872.95x = 6,330,705.22
  5. Step 5: Solve for x
    x = 6,330,705.22/2,872.95
  6. Step 6: Final answer
    x = 2,203.56

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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.