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Finding the Fourth Proportional to 2,617.31, 3,925.97 and 669.52

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Solution

The fourth proportional to 2,617.31, 3,925.97 and 669.52 is: 1,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.31 : 3,925.97 = 669.52 : x
  2. Step 2: Convert to fraction form
    2,617.31/3,925.97 = 669.52/x
  3. Step 3: Cross multiply
    2,617.31x = 3,925.97 × 669.52
  4. Step 4: Simplify right side
    2,617.31x = 2,628,497.42
  5. Step 5: Solve for x
    x = 2,628,497.42/2,617.31
  6. Step 6: Final answer
    x = 1,004.27

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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.