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Finding the Fourth Proportional to 3,318.66, 4,978.73 and 1,563.68

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Solution

The fourth proportional to 3,318.66, 4,978.73 and 1,563.68 is: 2,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.66 : 4,978.73 = 1,563.68 : x
  2. Step 2: Convert to fraction form
    3,318.66/4,978.73 = 1,563.68/x
  3. Step 3: Cross multiply
    3,318.66x = 4,978.73 × 1,563.68
  4. Step 4: Simplify right side
    3,318.66x = 7,785,156.88
  5. Step 5: Solve for x
    x = 7,785,156.88/3,318.66
  6. Step 6: Final answer
    x = 2,345.87

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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.