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Finding the Fourth Proportional to 2,926.25, 4,388.88 and 978.44

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Solution

The fourth proportional to 2,926.25, 4,388.88 and 978.44 is: 1,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.25 : 4,388.88 = 978.44 : x
  2. Step 2: Convert to fraction form
    2,926.25/4,388.88 = 978.44/x
  3. Step 3: Cross multiply
    2,926.25x = 4,388.88 × 978.44
  4. Step 4: Simplify right side
    2,926.25x = 4,294,266.72
  5. Step 5: Solve for x
    x = 4,294,266.72/2,926.25
  6. Step 6: Final answer
    x = 1,467.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.