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Finding the Fourth Proportional to 2,567.08, 3,850.20 and 923.32

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Solution

The fourth proportional to 2,567.08, 3,850.20 and 923.32 is: 1,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.08 : 3,850.20 = 923.32 : x
  2. Step 2: Convert to fraction form
    2,567.08/3,850.20 = 923.32/x
  3. Step 3: Cross multiply
    2,567.08x = 3,850.20 × 923.32
  4. Step 4: Simplify right side
    2,567.08x = 3,554,966.66
  5. Step 5: Solve for x
    x = 3,554,966.66/2,567.08
  6. Step 6: Final answer
    x = 1,384.83

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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.