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Finding the Fourth Proportional to 2,382.72, 3,577.16 and 1,835.26

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Solution

The fourth proportional to 2,382.72, 3,577.16 and 1,835.26 is: 2,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.72 : 3,577.16 = 1,835.26 : x
  2. Step 2: Convert to fraction form
    2,382.72/3,577.16 = 1,835.26/x
  3. Step 3: Cross multiply
    2,382.72x = 3,577.16 × 1,835.26
  4. Step 4: Simplify right side
    2,382.72x = 6,565,014.31
  5. Step 5: Solve for x
    x = 6,565,014.31/2,382.72
  6. Step 6: Final answer
    x = 2,755.26

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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.