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Finding the Fourth Proportional to 2,561.69, 3,840.62 and 1,328.40

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Solution

The fourth proportional to 2,561.69, 3,840.62 and 1,328.40 is: 1,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.69 : 3,840.62 = 1,328.40 : x
  2. Step 2: Convert to fraction form
    2,561.69/3,840.62 = 1,328.40/x
  3. Step 3: Cross multiply
    2,561.69x = 3,840.62 × 1,328.40
  4. Step 4: Simplify right side
    2,561.69x = 5,101,872.97
  5. Step 5: Solve for x
    x = 5,101,872.97/2,561.69
  6. Step 6: Final answer
    x = 1,991.60

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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.