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Finding the Fourth Proportional to 2,506.33, 3,759.04 and 751.29

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Solution

The fourth proportional to 2,506.33, 3,759.04 and 751.29 is: 1,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.33 : 3,759.04 = 751.29 : x
  2. Step 2: Convert to fraction form
    2,506.33/3,759.04 = 751.29/x
  3. Step 3: Cross multiply
    2,506.33x = 3,759.04 × 751.29
  4. Step 4: Simplify right side
    2,506.33x = 2,824,129.16
  5. Step 5: Solve for x
    x = 2,824,129.16/2,506.33
  6. Step 6: Final answer
    x = 1,126.80

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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.