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Finding the Fourth Proportional to 2,207.50, 3,310.57 and 746.31

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Solution

The fourth proportional to 2,207.50, 3,310.57 and 746.31 is: 1,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.50 : 3,310.57 = 746.31 : x
  2. Step 2: Convert to fraction form
    2,207.50/3,310.57 = 746.31/x
  3. Step 3: Cross multiply
    2,207.50x = 3,310.57 × 746.31
  4. Step 4: Simplify right side
    2,207.50x = 2,470,724.84
  5. Step 5: Solve for x
    x = 2,470,724.84/2,207.50
  6. Step 6: Final answer
    x = 1,119.24

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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.