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Finding the Fourth Proportional to 3,167.49, 4,749.79 and 1,317.50

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Solution

The fourth proportional to 3,167.49, 4,749.79 and 1,317.50 is: 1,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.49 : 4,749.79 = 1,317.50 : x
  2. Step 2: Convert to fraction form
    3,167.49/4,749.79 = 1,317.50/x
  3. Step 3: Cross multiply
    3,167.49x = 4,749.79 × 1,317.50
  4. Step 4: Simplify right side
    3,167.49x = 6,257,848.33
  5. Step 5: Solve for x
    x = 6,257,848.33/3,167.49
  6. Step 6: Final answer
    x = 1,975.65

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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.