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Finding the Fourth Proportional to 2,682.54, 4,032 and 2,625.12

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Solution

The fourth proportional to 2,682.54, 4,032 and 2,625.12 is: 3,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.54 : 4,032 = 2,625.12 : x
  2. Step 2: Convert to fraction form
    2,682.54/4,032 = 2,625.12/x
  3. Step 3: Cross multiply
    2,682.54x = 4,032 × 2,625.12
  4. Step 4: Simplify right side
    2,682.54x = 10,584,483.84
  5. Step 5: Solve for x
    x = 10,584,483.84/2,682.54
  6. Step 6: Final answer
    x = 3,945.69

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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.