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Finding the Fourth Proportional to 2,096.33, 3,144.90 and 999.95

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Solution

The fourth proportional to 2,096.33, 3,144.90 and 999.95 is: 1,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.33 : 3,144.90 = 999.95 : x
  2. Step 2: Convert to fraction form
    2,096.33/3,144.90 = 999.95/x
  3. Step 3: Cross multiply
    2,096.33x = 3,144.90 × 999.95
  4. Step 4: Simplify right side
    2,096.33x = 3,144,742.76
  5. Step 5: Solve for x
    x = 3,144,742.76/2,096.33
  6. Step 6: Final answer
    x = 1,500.12

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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.