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Finding the Fourth Proportional to 1,447.72, 2,171.91 and 473.81

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Solution

The fourth proportional to 1,447.72, 2,171.91 and 473.81 is: 710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.72 : 2,171.91 = 473.81 : x
  2. Step 2: Convert to fraction form
    1,447.72/2,171.91 = 473.81/x
  3. Step 3: Cross multiply
    1,447.72x = 2,171.91 × 473.81
  4. Step 4: Simplify right side
    1,447.72x = 1,029,078.11
  5. Step 5: Solve for x
    x = 1,029,078.11/1,447.72
  6. Step 6: Final answer
    x = 710.83

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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.