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Finding the Fourth Proportional to 2,096.58, 3,140.01 and 2,023.68

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Solution

The fourth proportional to 2,096.58, 3,140.01 and 2,023.68 is: 3,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.58 : 3,140.01 = 2,023.68 : x
  2. Step 2: Convert to fraction form
    2,096.58/3,140.01 = 2,023.68/x
  3. Step 3: Cross multiply
    2,096.58x = 3,140.01 × 2,023.68
  4. Step 4: Simplify right side
    2,096.58x = 6,354,375.44
  5. Step 5: Solve for x
    x = 6,354,375.44/2,096.58
  6. Step 6: Final answer
    x = 3,030.83

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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.