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Finding the Fourth Proportional to 2,603.96, 3,896.21 and 1,508.84

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Solution

The fourth proportional to 2,603.96, 3,896.21 and 1,508.84 is: 2,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.96 : 3,896.21 = 1,508.84 : x
  2. Step 2: Convert to fraction form
    2,603.96/3,896.21 = 1,508.84/x
  3. Step 3: Cross multiply
    2,603.96x = 3,896.21 × 1,508.84
  4. Step 4: Simplify right side
    2,603.96x = 5,878,730.47
  5. Step 5: Solve for x
    x = 5,878,730.47/2,603.96
  6. Step 6: Final answer
    x = 2,257.62

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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.