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Finding the Fourth Proportional to 2,567.14, 3,850.70 and 619.36

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Solution

The fourth proportional to 2,567.14, 3,850.70 and 619.36 is: 929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.14 : 3,850.70 = 619.36 : x
  2. Step 2: Convert to fraction form
    2,567.14/3,850.70 = 619.36/x
  3. Step 3: Cross multiply
    2,567.14x = 3,850.70 × 619.36
  4. Step 4: Simplify right side
    2,567.14x = 2,384,969.55
  5. Step 5: Solve for x
    x = 2,384,969.55/2,567.14
  6. Step 6: Final answer
    x = 929.04

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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.