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Finding the Fourth Proportional to 2,764.94, 3,815.70 and 1,586.24

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Solution

The fourth proportional to 2,764.94, 3,815.70 and 1,586.24 is: 2,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.94 : 3,815.70 = 1,586.24 : x
  2. Step 2: Convert to fraction form
    2,764.94/3,815.70 = 1,586.24/x
  3. Step 3: Cross multiply
    2,764.94x = 3,815.70 × 1,586.24
  4. Step 4: Simplify right side
    2,764.94x = 6,052,615.97
  5. Step 5: Solve for x
    x = 6,052,615.97/2,764.94
  6. Step 6: Final answer
    x = 2,189.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.