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Finding the Fourth Proportional to 2,141.38, 3,207.02 and 1,796.93

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Solution

The fourth proportional to 2,141.38, 3,207.02 and 1,796.93 is: 2,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.38 : 3,207.02 = 1,796.93 : x
  2. Step 2: Convert to fraction form
    2,141.38/3,207.02 = 1,796.93/x
  3. Step 3: Cross multiply
    2,141.38x = 3,207.02 × 1,796.93
  4. Step 4: Simplify right side
    2,141.38x = 5,762,774.41
  5. Step 5: Solve for x
    x = 5,762,774.41/2,141.38
  6. Step 6: Final answer
    x = 2,691.16

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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.