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Finding the Fourth Proportional to 3,147.82, 4,718.49 and 1,686.58

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Solution

The fourth proportional to 3,147.82, 4,718.49 and 1,686.58 is: 2,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.82 : 4,718.49 = 1,686.58 : x
  2. Step 2: Convert to fraction form
    3,147.82/4,718.49 = 1,686.58/x
  3. Step 3: Cross multiply
    3,147.82x = 4,718.49 × 1,686.58
  4. Step 4: Simplify right side
    3,147.82x = 7,958,110.86
  5. Step 5: Solve for x
    x = 7,958,110.86/3,147.82
  6. Step 6: Final answer
    x = 2,528.13

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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.