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Finding the Fourth Proportional to 1,392.10, 2,086.32 and 776.09

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Solution

The fourth proportional to 1,392.10, 2,086.32 and 776.09 is: 1,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.10 : 2,086.32 = 776.09 : x
  2. Step 2: Convert to fraction form
    1,392.10/2,086.32 = 776.09/x
  3. Step 3: Cross multiply
    1,392.10x = 2,086.32 × 776.09
  4. Step 4: Simplify right side
    1,392.10x = 1,619,177.30
  5. Step 5: Solve for x
    x = 1,619,177.30/1,392.10
  6. Step 6: Final answer
    x = 1,163.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.