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Finding the Fourth Proportional to 2,567.34, 3,850.02 and 923.46

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Solution

The fourth proportional to 2,567.34, 3,850.02 and 923.46 is: 1,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.34 : 3,850.02 = 923.46 : x
  2. Step 2: Convert to fraction form
    2,567.34/3,850.02 = 923.46/x
  3. Step 3: Cross multiply
    2,567.34x = 3,850.02 × 923.46
  4. Step 4: Simplify right side
    2,567.34x = 3,555,339.47
  5. Step 5: Solve for x
    x = 3,555,339.47/2,567.34
  6. Step 6: Final answer
    x = 1,384.83

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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.