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Finding the Fourth Proportional to 2,567.45, 3,850.61 and 718.07

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Solution

The fourth proportional to 2,567.45, 3,850.61 and 718.07 is: 1,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.45 : 3,850.61 = 718.07 : x
  2. Step 2: Convert to fraction form
    2,567.45/3,850.61 = 718.07/x
  3. Step 3: Cross multiply
    2,567.45x = 3,850.61 × 718.07
  4. Step 4: Simplify right side
    2,567.45x = 2,765,018.94
  5. Step 5: Solve for x
    x = 2,765,018.94/2,567.45
  6. Step 6: Final answer
    x = 1,076.95

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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.