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Finding the Fourth Proportional to 2,709.63, 4,063.89 and 860.85

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Solution

The fourth proportional to 2,709.63, 4,063.89 and 860.85 is: 1,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.63 : 4,063.89 = 860.85 : x
  2. Step 2: Convert to fraction form
    2,709.63/4,063.89 = 860.85/x
  3. Step 3: Cross multiply
    2,709.63x = 4,063.89 × 860.85
  4. Step 4: Simplify right side
    2,709.63x = 3,498,399.71
  5. Step 5: Solve for x
    x = 3,498,399.71/2,709.63
  6. Step 6: Final answer
    x = 1,291.10

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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.