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Finding the Fourth Proportional to 2,212.50, 3,319.04 and 751.26

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Solution

The fourth proportional to 2,212.50, 3,319.04 and 751.26 is: 1,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.50 : 3,319.04 = 751.26 : x
  2. Step 2: Convert to fraction form
    2,212.50/3,319.04 = 751.26/x
  3. Step 3: Cross multiply
    2,212.50x = 3,319.04 × 751.26
  4. Step 4: Simplify right side
    2,212.50x = 2,493,461.99
  5. Step 5: Solve for x
    x = 2,493,461.99/2,212.50
  6. Step 6: Final answer
    x = 1,126.99

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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.