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Finding the Fourth Proportional to 4,460.92, 6,687.73 and 1,686.02

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Solution

The fourth proportional to 4,460.92, 6,687.73 and 1,686.02 is: 2,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.92 : 6,687.73 = 1,686.02 : x
  2. Step 2: Convert to fraction form
    4,460.92/6,687.73 = 1,686.02/x
  3. Step 3: Cross multiply
    4,460.92x = 6,687.73 × 1,686.02
  4. Step 4: Simplify right side
    4,460.92x = 11,275,646.53
  5. Step 5: Solve for x
    x = 11,275,646.53/4,460.92
  6. Step 6: Final answer
    x = 2,527.65

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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.