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Finding the Fourth Proportional to 2,951.46, 4,427.82 and 976.98

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Solution

The fourth proportional to 2,951.46, 4,427.82 and 976.98 is: 1,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.46 : 4,427.82 = 976.98 : x
  2. Step 2: Convert to fraction form
    2,951.46/4,427.82 = 976.98/x
  3. Step 3: Cross multiply
    2,951.46x = 4,427.82 × 976.98
  4. Step 4: Simplify right side
    2,951.46x = 4,325,891.58
  5. Step 5: Solve for x
    x = 4,325,891.58/2,951.46
  6. Step 6: Final answer
    x = 1,465.68

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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.