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Finding the Fourth Proportional to 2,961.72, 4,086 and 1,782.63

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Solution

The fourth proportional to 2,961.72, 4,086 and 1,782.63 is: 2,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.72 : 4,086 = 1,782.63 : x
  2. Step 2: Convert to fraction form
    2,961.72/4,086 = 1,782.63/x
  3. Step 3: Cross multiply
    2,961.72x = 4,086 × 1,782.63
  4. Step 4: Simplify right side
    2,961.72x = 7,283,826.18
  5. Step 5: Solve for x
    x = 7,283,826.18/2,961.72
  6. Step 6: Final answer
    x = 2,459.32

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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.