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Finding the Fourth Proportional to 2,578, 3,867.64 and 754

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Solution

The fourth proportional to 2,578, 3,867.64 and 754 is: 1,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578 : 3,867.64 = 754 : x
  2. Step 2: Convert to fraction form
    2,578/3,867.64 = 754/x
  3. Step 3: Cross multiply
    2,578x = 3,867.64 × 754
  4. Step 4: Simplify right side
    2,578x = 2,916,200.56
  5. Step 5: Solve for x
    x = 2,916,200.56/2,578
  6. Step 6: Final answer
    x = 1,131.19

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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.