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Finding the Fourth Proportional to 1,926.36, 2,662.61 and 1,778.76

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Solution

The fourth proportional to 1,926.36, 2,662.61 and 1,778.76 is: 2,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.36 : 2,662.61 = 1,778.76 : x
  2. Step 2: Convert to fraction form
    1,926.36/2,662.61 = 1,778.76/x
  3. Step 3: Cross multiply
    1,926.36x = 2,662.61 × 1,778.76
  4. Step 4: Simplify right side
    1,926.36x = 4,736,135.27
  5. Step 5: Solve for x
    x = 4,736,135.27/1,926.36
  6. Step 6: Final answer
    x = 2,458.59

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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.