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Finding the Fourth Proportional to 2,765.66, 3,816.69 and 1,586.96

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Solution

The fourth proportional to 2,765.66, 3,816.69 and 1,586.96 is: 2,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.66 : 3,816.69 = 1,586.96 : x
  2. Step 2: Convert to fraction form
    2,765.66/3,816.69 = 1,586.96/x
  3. Step 3: Cross multiply
    2,765.66x = 3,816.69 × 1,586.96
  4. Step 4: Simplify right side
    2,765.66x = 6,056,934.36
  5. Step 5: Solve for x
    x = 6,056,934.36/2,765.66
  6. Step 6: Final answer
    x = 2,190.05

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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.