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Finding the Fourth Proportional to 1,926.25, 2,658.03 and 1,086.87

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Solution

The fourth proportional to 1,926.25, 2,658.03 and 1,086.87 is: 1,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.25 : 2,658.03 = 1,086.87 : x
  2. Step 2: Convert to fraction form
    1,926.25/2,658.03 = 1,086.87/x
  3. Step 3: Cross multiply
    1,926.25x = 2,658.03 × 1,086.87
  4. Step 4: Simplify right side
    1,926.25x = 2,888,933.07
  5. Step 5: Solve for x
    x = 2,888,933.07/1,926.25
  6. Step 6: Final answer
    x = 1,499.77

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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.