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Finding the Fourth Proportional to 2,509.62, 3,765.04 and 778.26

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Solution

The fourth proportional to 2,509.62, 3,765.04 and 778.26 is: 1,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.62 : 3,765.04 = 778.26 : x
  2. Step 2: Convert to fraction form
    2,509.62/3,765.04 = 778.26/x
  3. Step 3: Cross multiply
    2,509.62x = 3,765.04 × 778.26
  4. Step 4: Simplify right side
    2,509.62x = 2,930,180.03
  5. Step 5: Solve for x
    x = 2,930,180.03/2,509.62
  6. Step 6: Final answer
    x = 1,167.58

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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.