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Finding the Fourth Proportional to 2,836.93, 3,914.97 and 1,658.08

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Solution

The fourth proportional to 2,836.93, 3,914.97 and 1,658.08 is: 2,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.93 : 3,914.97 = 1,658.08 : x
  2. Step 2: Convert to fraction form
    2,836.93/3,914.97 = 1,658.08/x
  3. Step 3: Cross multiply
    2,836.93x = 3,914.97 × 1,658.08
  4. Step 4: Simplify right side
    2,836.93x = 6,491,333.46
  5. Step 5: Solve for x
    x = 6,491,333.46/2,836.93
  6. Step 6: Final answer
    x = 2,288.15

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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.