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Finding the Fourth Proportional to 2,656.81, 3,664.60 and 1,725.31

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Solution

The fourth proportional to 2,656.81, 3,664.60 and 1,725.31 is: 2,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.81 : 3,664.60 = 1,725.31 : x
  2. Step 2: Convert to fraction form
    2,656.81/3,664.60 = 1,725.31/x
  3. Step 3: Cross multiply
    2,656.81x = 3,664.60 × 1,725.31
  4. Step 4: Simplify right side
    2,656.81x = 6,322,571.03
  5. Step 5: Solve for x
    x = 6,322,571.03/2,656.81
  6. Step 6: Final answer
    x = 2,379.76

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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.