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Finding the Fourth Proportional to 2,765.85, 3,816.01 and 1,586.69

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Solution

The fourth proportional to 2,765.85, 3,816.01 and 1,586.69 is: 2,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.85 : 3,816.01 = 1,586.69 : x
  2. Step 2: Convert to fraction form
    2,765.85/3,816.01 = 1,586.69/x
  3. Step 3: Cross multiply
    2,765.85x = 3,816.01 × 1,586.69
  4. Step 4: Simplify right side
    2,765.85x = 6,054,822.12
  5. Step 5: Solve for x
    x = 6,054,822.12/2,765.85
  6. Step 6: Final answer
    x = 2,189.14

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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.