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Finding the Fourth Proportional to 3,011.92, 4,156.53 and 1,685.90

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Solution

The fourth proportional to 3,011.92, 4,156.53 and 1,685.90 is: 2,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.92 : 4,156.53 = 1,685.90 : x
  2. Step 2: Convert to fraction form
    3,011.92/4,156.53 = 1,685.90/x
  3. Step 3: Cross multiply
    3,011.92x = 4,156.53 × 1,685.90
  4. Step 4: Simplify right side
    3,011.92x = 7,007,493.93
  5. Step 5: Solve for x
    x = 7,007,493.93/3,011.92
  6. Step 6: Final answer
    x = 2,326.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.