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Finding the Fourth Proportional to 2,651.64, 3,659.36 and 1,472.82

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Solution

The fourth proportional to 2,651.64, 3,659.36 and 1,472.82 is: 2,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.64 : 3,659.36 = 1,472.82 : x
  2. Step 2: Convert to fraction form
    2,651.64/3,659.36 = 1,472.82/x
  3. Step 3: Cross multiply
    2,651.64x = 3,659.36 × 1,472.82
  4. Step 4: Simplify right side
    2,651.64x = 5,389,571.23
  5. Step 5: Solve for x
    x = 5,389,571.23/2,651.64
  6. Step 6: Final answer
    x = 2,032.54

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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.