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Finding the Fourth Proportional to 2,680.96, 4,015.90 and 1,988.41

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Solution

The fourth proportional to 2,680.96, 4,015.90 and 1,988.41 is: 2,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.96 : 4,015.90 = 1,988.41 : x
  2. Step 2: Convert to fraction form
    2,680.96/4,015.90 = 1,988.41/x
  3. Step 3: Cross multiply
    2,680.96x = 4,015.90 × 1,988.41
  4. Step 4: Simplify right side
    2,680.96x = 7,985,230.67
  5. Step 5: Solve for x
    x = 7,985,230.67/2,680.96
  6. Step 6: Final answer
    x = 2,978.50

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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.