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Finding the Fourth Proportional to 2,765.31, 3,816.06 and 1,586.28

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Solution

The fourth proportional to 2,765.31, 3,816.06 and 1,586.28 is: 2,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.31 : 3,816.06 = 1,586.28 : x
  2. Step 2: Convert to fraction form
    2,765.31/3,816.06 = 1,586.28/x
  3. Step 3: Cross multiply
    2,765.31x = 3,816.06 × 1,586.28
  4. Step 4: Simplify right side
    2,765.31x = 6,053,339.66
  5. Step 5: Solve for x
    x = 6,053,339.66/2,765.31
  6. Step 6: Final answer
    x = 2,189.03

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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.