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Finding the Fourth Proportional to 2,511.62, 3,768.04 and 780.26

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Solution

The fourth proportional to 2,511.62, 3,768.04 and 780.26 is: 1,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.62 : 3,768.04 = 780.26 : x
  2. Step 2: Convert to fraction form
    2,511.62/3,768.04 = 780.26/x
  3. Step 3: Cross multiply
    2,511.62x = 3,768.04 × 780.26
  4. Step 4: Simplify right side
    2,511.62x = 2,940,050.89
  5. Step 5: Solve for x
    x = 2,940,050.89/2,511.62
  6. Step 6: Final answer
    x = 1,170.58

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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.