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Finding the Fourth Proportional to 3,043.40, 4,564.86 and 851.96

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Solution

The fourth proportional to 3,043.40, 4,564.86 and 851.96 is: 1,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.40 : 4,564.86 = 851.96 : x
  2. Step 2: Convert to fraction form
    3,043.40/4,564.86 = 851.96/x
  3. Step 3: Cross multiply
    3,043.40x = 4,564.86 × 851.96
  4. Step 4: Simplify right side
    3,043.40x = 3,889,078.13
  5. Step 5: Solve for x
    x = 3,889,078.13/3,043.40
  6. Step 6: Final answer
    x = 1,277.87

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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.