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Finding the Fourth Proportional to 4,951.05, 7,424.79 and 1,663.38

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Solution

The fourth proportional to 4,951.05, 7,424.79 and 1,663.38 is: 2,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.05 : 7,424.79 = 1,663.38 : x
  2. Step 2: Convert to fraction form
    4,951.05/7,424.79 = 1,663.38/x
  3. Step 3: Cross multiply
    4,951.05x = 7,424.79 × 1,663.38
  4. Step 4: Simplify right side
    4,951.05x = 12,350,247.19
  5. Step 5: Solve for x
    x = 12,350,247.19/4,951.05
  6. Step 6: Final answer
    x = 2,494.47

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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.