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Finding the Fourth Proportional to 2,596.64, 3,579.60 and 1,974.56

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Solution

The fourth proportional to 2,596.64, 3,579.60 and 1,974.56 is: 2,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.64 : 3,579.60 = 1,974.56 : x
  2. Step 2: Convert to fraction form
    2,596.64/3,579.60 = 1,974.56/x
  3. Step 3: Cross multiply
    2,596.64x = 3,579.60 × 1,974.56
  4. Step 4: Simplify right side
    2,596.64x = 7,068,134.98
  5. Step 5: Solve for x
    x = 7,068,134.98/2,596.64
  6. Step 6: Final answer
    x = 2,722.03

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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.