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Finding the Fourth Proportional to 3,322.25, 4,984.26 and 1,656.87

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Solution

The fourth proportional to 3,322.25, 4,984.26 and 1,656.87 is: 2,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.25 : 4,984.26 = 1,656.87 : x
  2. Step 2: Convert to fraction form
    3,322.25/4,984.26 = 1,656.87/x
  3. Step 3: Cross multiply
    3,322.25x = 4,984.26 × 1,656.87
  4. Step 4: Simplify right side
    3,322.25x = 8,258,270.87
  5. Step 5: Solve for x
    x = 8,258,270.87/3,322.25
  6. Step 6: Final answer
    x = 2,485.75

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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.