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Finding the Fourth Proportional to 3,104.67, 4,284.52 and 1,778.50

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Solution

The fourth proportional to 3,104.67, 4,284.52 and 1,778.50 is: 2,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.67 : 4,284.52 = 1,778.50 : x
  2. Step 2: Convert to fraction form
    3,104.67/4,284.52 = 1,778.50/x
  3. Step 3: Cross multiply
    3,104.67x = 4,284.52 × 1,778.50
  4. Step 4: Simplify right side
    3,104.67x = 7,620,018.82
  5. Step 5: Solve for x
    x = 7,620,018.82/3,104.67
  6. Step 6: Final answer
    x = 2,454.37

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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.