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Finding the Fourth Proportional to 1,309.55, 1,795.46 and 1,286.16

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Solution

The fourth proportional to 1,309.55, 1,795.46 and 1,286.16 is: 1,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.55 : 1,795.46 = 1,286.16 : x
  2. Step 2: Convert to fraction form
    1,309.55/1,795.46 = 1,286.16/x
  3. Step 3: Cross multiply
    1,309.55x = 1,795.46 × 1,286.16
  4. Step 4: Simplify right side
    1,309.55x = 2,309,242.40
  5. Step 5: Solve for x
    x = 2,309,242.40/1,309.55
  6. Step 6: Final answer
    x = 1,763.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.