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Finding the Fourth Proportional to 2,135.72, 3,197.10 and 1,906.76

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Solution

The fourth proportional to 2,135.72, 3,197.10 and 1,906.76 is: 2,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.72 : 3,197.10 = 1,906.76 : x
  2. Step 2: Convert to fraction form
    2,135.72/3,197.10 = 1,906.76/x
  3. Step 3: Cross multiply
    2,135.72x = 3,197.10 × 1,906.76
  4. Step 4: Simplify right side
    2,135.72x = 6,096,102.40
  5. Step 5: Solve for x
    x = 6,096,102.40/2,135.72
  6. Step 6: Final answer
    x = 2,854.35

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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.