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Finding the Fourth Proportional to 3,319.20, 4,978.05 and 978.70

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Solution

The fourth proportional to 3,319.20, 4,978.05 and 978.70 is: 1,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.20 : 4,978.05 = 978.70 : x
  2. Step 2: Convert to fraction form
    3,319.20/4,978.05 = 978.70/x
  3. Step 3: Cross multiply
    3,319.20x = 4,978.05 × 978.70
  4. Step 4: Simplify right side
    3,319.20x = 4,872,017.54
  5. Step 5: Solve for x
    x = 4,872,017.54/3,319.20
  6. Step 6: Final answer
    x = 1,467.83

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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.