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Finding the Fourth Proportional to 3,199.77, 4,799.67 and 978.62

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Solution

The fourth proportional to 3,199.77, 4,799.67 and 978.62 is: 1,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.77 : 4,799.67 = 978.62 : x
  2. Step 2: Convert to fraction form
    3,199.77/4,799.67 = 978.62/x
  3. Step 3: Cross multiply
    3,199.77x = 4,799.67 × 978.62
  4. Step 4: Simplify right side
    3,199.77x = 4,697,029.06
  5. Step 5: Solve for x
    x = 4,697,029.06/3,199.77
  6. Step 6: Final answer
    x = 1,467.93

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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.