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Finding the Fourth Proportional to 2,840.88, 3,921.72 and 1,661.52

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Solution

The fourth proportional to 2,840.88, 3,921.72 and 1,661.52 is: 2,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.88 : 3,921.72 = 1,661.52 : x
  2. Step 2: Convert to fraction form
    2,840.88/3,921.72 = 1,661.52/x
  3. Step 3: Cross multiply
    2,840.88x = 3,921.72 × 1,661.52
  4. Step 4: Simplify right side
    2,840.88x = 6,516,016.21
  5. Step 5: Solve for x
    x = 6,516,016.21/2,840.88
  6. Step 6: Final answer
    x = 2,293.66

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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.