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Finding the Fourth Proportional to 3,115.96, 4,673.92 and 1,267.04

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Solution

The fourth proportional to 3,115.96, 4,673.92 and 1,267.04 is: 1,900.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.96 : 4,673.92 = 1,267.04 : x
  2. Step 2: Convert to fraction form
    3,115.96/4,673.92 = 1,267.04/x
  3. Step 3: Cross multiply
    3,115.96x = 4,673.92 × 1,267.04
  4. Step 4: Simplify right side
    3,115.96x = 5,922,043.60
  5. Step 5: Solve for x
    x = 5,922,043.60/3,115.96
  6. Step 6: Final answer
    x = 1,900.55

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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.