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Finding the Fourth Proportional to 1,630.37, 2,442.71 and 979.67

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Solution

The fourth proportional to 1,630.37, 2,442.71 and 979.67 is: 1,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.37 : 2,442.71 = 979.67 : x
  2. Step 2: Convert to fraction form
    1,630.37/2,442.71 = 979.67/x
  3. Step 3: Cross multiply
    1,630.37x = 2,442.71 × 979.67
  4. Step 4: Simplify right side
    1,630.37x = 2,393,039.94
  5. Step 5: Solve for x
    x = 2,393,039.94/1,630.37
  6. Step 6: Final answer
    x = 1,467.79

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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.