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Finding the Fourth Proportional to 2,926.37, 4,389.56 and 978.58

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Solution

The fourth proportional to 2,926.37, 4,389.56 and 978.58 is: 1,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.37 : 4,389.56 = 978.58 : x
  2. Step 2: Convert to fraction form
    2,926.37/4,389.56 = 978.58/x
  3. Step 3: Cross multiply
    2,926.37x = 4,389.56 × 978.58
  4. Step 4: Simplify right side
    2,926.37x = 4,295,535.62
  5. Step 5: Solve for x
    x = 4,295,535.62/2,926.37
  6. Step 6: Final answer
    x = 1,467.87

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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.