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Finding the Fourth Proportional to 1,630.97, 2,440.68 and 1,014.97

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Solution

The fourth proportional to 1,630.97, 2,440.68 and 1,014.97 is: 1,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.97 : 2,440.68 = 1,014.97 : x
  2. Step 2: Convert to fraction form
    1,630.97/2,440.68 = 1,014.97/x
  3. Step 3: Cross multiply
    1,630.97x = 2,440.68 × 1,014.97
  4. Step 4: Simplify right side
    1,630.97x = 2,477,216.98
  5. Step 5: Solve for x
    x = 2,477,216.98/1,630.97
  6. Step 6: Final answer
    x = 1,518.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.