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Finding the Fourth Proportional to 1,286.56, 1,926.64 and 1,177.32

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Solution

The fourth proportional to 1,286.56, 1,926.64 and 1,177.32 is: 1,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.56 : 1,926.64 = 1,177.32 : x
  2. Step 2: Convert to fraction form
    1,286.56/1,926.64 = 1,177.32/x
  3. Step 3: Cross multiply
    1,286.56x = 1,926.64 × 1,177.32
  4. Step 4: Simplify right side
    1,286.56x = 2,268,271.80
  5. Step 5: Solve for x
    x = 2,268,271.80/1,286.56
  6. Step 6: Final answer
    x = 1,763.05

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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.