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Finding the Fourth Proportional to 2,102.68, 3,155.22 and 2,097.76

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Solution

The fourth proportional to 2,102.68, 3,155.22 and 2,097.76 is: 3,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.68 : 3,155.22 = 2,097.76 : x
  2. Step 2: Convert to fraction form
    2,102.68/3,155.22 = 2,097.76/x
  3. Step 3: Cross multiply
    2,102.68x = 3,155.22 × 2,097.76
  4. Step 4: Simplify right side
    2,102.68x = 6,618,894.31
  5. Step 5: Solve for x
    x = 6,618,894.31/2,102.68
  6. Step 6: Final answer
    x = 3,147.84

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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.