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Finding the Fourth Proportional to 3,171.66, 4,758.48 and 1,224

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Solution

The fourth proportional to 3,171.66, 4,758.48 and 1,224 is: 1,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.66 : 4,758.48 = 1,224 : x
  2. Step 2: Convert to fraction form
    3,171.66/4,758.48 = 1,224/x
  3. Step 3: Cross multiply
    3,171.66x = 4,758.48 × 1,224
  4. Step 4: Simplify right side
    3,171.66x = 5,824,379.52
  5. Step 5: Solve for x
    x = 5,824,379.52/3,171.66
  6. Step 6: Final answer
    x = 1,836.38

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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.