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Finding the Fourth Proportional to 2,765.62, 3,816.13 and 1,586.46

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Solution

The fourth proportional to 2,765.62, 3,816.13 and 1,586.46 is: 2,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.62 : 3,816.13 = 1,586.46 : x
  2. Step 2: Convert to fraction form
    2,765.62/3,816.13 = 1,586.46/x
  3. Step 3: Cross multiply
    2,765.62x = 3,816.13 × 1,586.46
  4. Step 4: Simplify right side
    2,765.62x = 6,054,133.49
  5. Step 5: Solve for x
    x = 6,054,133.49/2,765.62
  6. Step 6: Final answer
    x = 2,189.07

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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.