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Finding the Fourth Proportional to 2,926.20, 4,389.54 and 978.42

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Solution

The fourth proportional to 2,926.20, 4,389.54 and 978.42 is: 1,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.20 : 4,389.54 = 978.42 : x
  2. Step 2: Convert to fraction form
    2,926.20/4,389.54 = 978.42/x
  3. Step 3: Cross multiply
    2,926.20x = 4,389.54 × 978.42
  4. Step 4: Simplify right side
    2,926.20x = 4,294,813.73
  5. Step 5: Solve for x
    x = 4,294,813.73/2,926.20
  6. Step 6: Final answer
    x = 1,467.71

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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.