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Finding the Fourth Proportional to 2,511.24, 3,774.24 and 1,651.02

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Solution

The fourth proportional to 2,511.24, 3,774.24 and 1,651.02 is: 2,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.24 : 3,774.24 = 1,651.02 : x
  2. Step 2: Convert to fraction form
    2,511.24/3,774.24 = 1,651.02/x
  3. Step 3: Cross multiply
    2,511.24x = 3,774.24 × 1,651.02
  4. Step 4: Simplify right side
    2,511.24x = 6,231,345.72
  5. Step 5: Solve for x
    x = 6,231,345.72/2,511.24
  6. Step 6: Final answer
    x = 2,481.38

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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.