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Finding the Fourth Proportional to 3,318.71, 4,977.82 and 978.85

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Solution

The fourth proportional to 3,318.71, 4,977.82 and 978.85 is: 1,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.71 : 4,977.82 = 978.85 : x
  2. Step 2: Convert to fraction form
    3,318.71/4,977.82 = 978.85/x
  3. Step 3: Cross multiply
    3,318.71x = 4,977.82 × 978.85
  4. Step 4: Simplify right side
    3,318.71x = 4,872,546.55
  5. Step 5: Solve for x
    x = 4,872,546.55/3,318.71
  6. Step 6: Final answer
    x = 1,468.21

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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.