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Finding the Fourth Proportional to 2,439.05, 3,659.00 and 978.21

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Solution

The fourth proportional to 2,439.05, 3,659.00 and 978.21 is: 1,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.05 : 3,659.00 = 978.21 : x
  2. Step 2: Convert to fraction form
    2,439.05/3,659.00 = 978.21/x
  3. Step 3: Cross multiply
    2,439.05x = 3,659.00 × 978.21
  4. Step 4: Simplify right side
    2,439.05x = 3,579,265.50
  5. Step 5: Solve for x
    x = 3,579,265.50/2,439.05
  6. Step 6: Final answer
    x = 1,467.49

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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.