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Finding the Fourth Proportional to 2,567.56, 3,850.38 and 923.68

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Solution

The fourth proportional to 2,567.56, 3,850.38 and 923.68 is: 1,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.56 : 3,850.38 = 923.68 : x
  2. Step 2: Convert to fraction form
    2,567.56/3,850.38 = 923.68/x
  3. Step 3: Cross multiply
    2,567.56x = 3,850.38 × 923.68
  4. Step 4: Simplify right side
    2,567.56x = 3,556,519.00
  5. Step 5: Solve for x
    x = 3,556,519.00/2,567.56
  6. Step 6: Final answer
    x = 1,385.17

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Why These Related Problems?

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