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Finding the Fourth Proportional to 2,267.12, 3,400.78 and 786.36

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Solution

The fourth proportional to 2,267.12, 3,400.78 and 786.36 is: 1,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.12 : 3,400.78 = 786.36 : x
  2. Step 2: Convert to fraction form
    2,267.12/3,400.78 = 786.36/x
  3. Step 3: Cross multiply
    2,267.12x = 3,400.78 × 786.36
  4. Step 4: Simplify right side
    2,267.12x = 2,674,237.36
  5. Step 5: Solve for x
    x = 2,674,237.36/2,267.12
  6. Step 6: Final answer
    x = 1,179.57

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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.