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Finding the Fourth Proportional to 3,046.92, 4,567.76 and 1,199.18

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Solution

The fourth proportional to 3,046.92, 4,567.76 and 1,199.18 is: 1,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.92 : 4,567.76 = 1,199.18 : x
  2. Step 2: Convert to fraction form
    3,046.92/4,567.76 = 1,199.18/x
  3. Step 3: Cross multiply
    3,046.92x = 4,567.76 × 1,199.18
  4. Step 4: Simplify right side
    3,046.92x = 5,477,566.44
  5. Step 5: Solve for x
    x = 5,477,566.44/3,046.92
  6. Step 6: Final answer
    x = 1,797.74

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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.