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Finding the Fourth Proportional to 2,506.82, 3,759.90 and 751.82

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Solution

The fourth proportional to 2,506.82, 3,759.90 and 751.82 is: 1,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.82 : 3,759.90 = 751.82 : x
  2. Step 2: Convert to fraction form
    2,506.82/3,759.90 = 751.82/x
  3. Step 3: Cross multiply
    2,506.82x = 3,759.90 × 751.82
  4. Step 4: Simplify right side
    2,506.82x = 2,826,768.02
  5. Step 5: Solve for x
    x = 2,826,768.02/2,506.82
  6. Step 6: Final answer
    x = 1,127.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.