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Finding the Fourth Proportional to 3,171.36, 4,756.50 and 1,223.58

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Solution

The fourth proportional to 3,171.36, 4,756.50 and 1,223.58 is: 1,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.36 : 4,756.50 = 1,223.58 : x
  2. Step 2: Convert to fraction form
    3,171.36/4,756.50 = 1,223.58/x
  3. Step 3: Cross multiply
    3,171.36x = 4,756.50 × 1,223.58
  4. Step 4: Simplify right side
    3,171.36x = 5,819,958.27
  5. Step 5: Solve for x
    x = 5,819,958.27/3,171.36
  6. Step 6: Final answer
    x = 1,835.16

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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.