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Finding the Fourth Proportional to 3,096.96, 4,645.50 and 788.46

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Solution

The fourth proportional to 3,096.96, 4,645.50 and 788.46 is: 1,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.96 : 4,645.50 = 788.46 : x
  2. Step 2: Convert to fraction form
    3,096.96/4,645.50 = 788.46/x
  3. Step 3: Cross multiply
    3,096.96x = 4,645.50 × 788.46
  4. Step 4: Simplify right side
    3,096.96x = 3,662,790.93
  5. Step 5: Solve for x
    x = 3,662,790.93/3,096.96
  6. Step 6: Final answer
    x = 1,182.71

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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.