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Finding the Fourth Proportional to 2,382.51, 3,573.77 and 651.27

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Solution

The fourth proportional to 2,382.51, 3,573.77 and 651.27 is: 976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.51 : 3,573.77 = 651.27 : x
  2. Step 2: Convert to fraction form
    2,382.51/3,573.77 = 651.27/x
  3. Step 3: Cross multiply
    2,382.51x = 3,573.77 × 651.27
  4. Step 4: Simplify right side
    2,382.51x = 2,327,485.93
  5. Step 5: Solve for x
    x = 2,327,485.93/2,382.51
  6. Step 6: Final answer
    x = 976.91

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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.