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Finding the Fourth Proportional to 2,840.54, 3,918.68 and 1,661.09

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Solution

The fourth proportional to 2,840.54, 3,918.68 and 1,661.09 is: 2,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.54 : 3,918.68 = 1,661.09 : x
  2. Step 2: Convert to fraction form
    2,840.54/3,918.68 = 1,661.09/x
  3. Step 3: Cross multiply
    2,840.54x = 3,918.68 × 1,661.09
  4. Step 4: Simplify right side
    2,840.54x = 6,509,280.16
  5. Step 5: Solve for x
    x = 6,509,280.16/2,840.54
  6. Step 6: Final answer
    x = 2,291.56

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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.