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Finding the Fourth Proportional to 2,620.56, 3,930.64 and 1,159.76

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Solution

The fourth proportional to 2,620.56, 3,930.64 and 1,159.76 is: 1,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.56 : 3,930.64 = 1,159.76 : x
  2. Step 2: Convert to fraction form
    2,620.56/3,930.64 = 1,159.76/x
  3. Step 3: Cross multiply
    2,620.56x = 3,930.64 × 1,159.76
  4. Step 4: Simplify right side
    2,620.56x = 4,558,599.05
  5. Step 5: Solve for x
    x = 4,558,599.05/2,620.56
  6. Step 6: Final answer
    x = 1,739.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.