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Finding the Fourth Proportional to 3,104.89, 4,657.33 and 764.93

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Solution

The fourth proportional to 3,104.89, 4,657.33 and 764.93 is: 1,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.89 : 4,657.33 = 764.93 : x
  2. Step 2: Convert to fraction form
    3,104.89/4,657.33 = 764.93/x
  3. Step 3: Cross multiply
    3,104.89x = 4,657.33 × 764.93
  4. Step 4: Simplify right side
    3,104.89x = 3,562,539.73
  5. Step 5: Solve for x
    x = 3,562,539.73/3,104.89
  6. Step 6: Final answer
    x = 1,147.40

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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.