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Finding the Fourth Proportional to 2,632.64, 3,945.97 and 877.23

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Solution

The fourth proportional to 2,632.64, 3,945.97 and 877.23 is: 1,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.64 : 3,945.97 = 877.23 : x
  2. Step 2: Convert to fraction form
    2,632.64/3,945.97 = 877.23/x
  3. Step 3: Cross multiply
    2,632.64x = 3,945.97 × 877.23
  4. Step 4: Simplify right side
    2,632.64x = 3,461,519.43
  5. Step 5: Solve for x
    x = 3,461,519.43/2,632.64
  6. Step 6: Final answer
    x = 1,314.85

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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.