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Finding the Fourth Proportional to 1,926.36, 2,658.12 and 1,086.88

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Solution

The fourth proportional to 1,926.36, 2,658.12 and 1,086.88 is: 1,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.36 : 2,658.12 = 1,086.88 : x
  2. Step 2: Convert to fraction form
    1,926.36/2,658.12 = 1,086.88/x
  3. Step 3: Cross multiply
    1,926.36x = 2,658.12 × 1,086.88
  4. Step 4: Simplify right side
    1,926.36x = 2,889,057.47
  5. Step 5: Solve for x
    x = 2,889,057.47/1,926.36
  6. Step 6: Final answer
    x = 1,499.75

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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.