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Finding the Fourth Proportional to 1,682.29, 2,523.46 and 642.77

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Solution

The fourth proportional to 1,682.29, 2,523.46 and 642.77 is: 964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.29 : 2,523.46 = 642.77 : x
  2. Step 2: Convert to fraction form
    1,682.29/2,523.46 = 642.77/x
  3. Step 3: Cross multiply
    1,682.29x = 2,523.46 × 642.77
  4. Step 4: Simplify right side
    1,682.29x = 1,622,004.38
  5. Step 5: Solve for x
    x = 1,622,004.38/1,682.29
  6. Step 6: Final answer
    x = 964.16

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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.