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Finding the Fourth Proportional to 1,686.37, 2,527.82 and 646.09

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Solution

The fourth proportional to 1,686.37, 2,527.82 and 646.09 is: 968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.37 : 2,527.82 = 646.09 : x
  2. Step 2: Convert to fraction form
    1,686.37/2,527.82 = 646.09/x
  3. Step 3: Cross multiply
    1,686.37x = 2,527.82 × 646.09
  4. Step 4: Simplify right side
    1,686.37x = 1,633,183.35
  5. Step 5: Solve for x
    x = 1,633,183.35/1,686.37
  6. Step 6: Final answer
    x = 968.46

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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.