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Finding the Fourth Proportional to 4,602.72, 6,902.02 and 1,678.97

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Solution

The fourth proportional to 4,602.72, 6,902.02 and 1,678.97 is: 2,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.72 : 6,902.02 = 1,678.97 : x
  2. Step 2: Convert to fraction form
    4,602.72/6,902.02 = 1,678.97/x
  3. Step 3: Cross multiply
    4,602.72x = 6,902.02 × 1,678.97
  4. Step 4: Simplify right side
    4,602.72x = 11,588,284.52
  5. Step 5: Solve for x
    x = 11,588,284.52/4,602.72
  6. Step 6: Final answer
    x = 2,517.71

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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.