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Finding the Fourth Proportional to 2,709.24, 4,064.06 and 860.46

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Solution

The fourth proportional to 2,709.24, 4,064.06 and 860.46 is: 1,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.24 : 4,064.06 = 860.46 : x
  2. Step 2: Convert to fraction form
    2,709.24/4,064.06 = 860.46/x
  3. Step 3: Cross multiply
    2,709.24x = 4,064.06 × 860.46
  4. Step 4: Simplify right side
    2,709.24x = 3,496,942.90
  5. Step 5: Solve for x
    x = 3,496,942.90/2,709.24
  6. Step 6: Final answer
    x = 1,290.75

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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.