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Finding the Fourth Proportional to 2,559.76, 3,840.42 and 1,328.05

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Solution

The fourth proportional to 2,559.76, 3,840.42 and 1,328.05 is: 1,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.76 : 3,840.42 = 1,328.05 : x
  2. Step 2: Convert to fraction form
    2,559.76/3,840.42 = 1,328.05/x
  3. Step 3: Cross multiply
    2,559.76x = 3,840.42 × 1,328.05
  4. Step 4: Simplify right side
    2,559.76x = 5,100,269.78
  5. Step 5: Solve for x
    x = 5,100,269.78/2,559.76
  6. Step 6: Final answer
    x = 1,992.48

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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.