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Finding the Fourth Proportional to 3,167.00, 4,751.16 and 1,317.57

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Solution

The fourth proportional to 3,167.00, 4,751.16 and 1,317.57 is: 1,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.00 : 4,751.16 = 1,317.57 : x
  2. Step 2: Convert to fraction form
    3,167.00/4,751.16 = 1,317.57/x
  3. Step 3: Cross multiply
    3,167.00x = 4,751.16 × 1,317.57
  4. Step 4: Simplify right side
    3,167.00x = 6,259,963.12
  5. Step 5: Solve for x
    x = 6,259,963.12/3,167.00
  6. Step 6: Final answer
    x = 1,976.62

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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.