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Finding the Fourth Proportional to 3,318.34, 4,975.20 and 1,468.45

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Solution

The fourth proportional to 3,318.34, 4,975.20 and 1,468.45 is: 2,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.34 : 4,975.20 = 1,468.45 : x
  2. Step 2: Convert to fraction form
    3,318.34/4,975.20 = 1,468.45/x
  3. Step 3: Cross multiply
    3,318.34x = 4,975.20 × 1,468.45
  4. Step 4: Simplify right side
    3,318.34x = 7,305,807.56
  5. Step 5: Solve for x
    x = 7,305,807.56/3,318.34
  6. Step 6: Final answer
    x = 2,201.65

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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.