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Finding the Fourth Proportional to 2,511.84, 3,775.86 and 2,434.08

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Solution

The fourth proportional to 2,511.84, 3,775.86 and 2,434.08 is: 3,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.84 : 3,775.86 = 2,434.08 : x
  2. Step 2: Convert to fraction form
    2,511.84/3,775.86 = 2,434.08/x
  3. Step 3: Cross multiply
    2,511.84x = 3,775.86 × 2,434.08
  4. Step 4: Simplify right side
    2,511.84x = 9,190,745.31
  5. Step 5: Solve for x
    x = 9,190,745.31/2,511.84
  6. Step 6: Final answer
    x = 3,658.97

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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.