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Finding the Fourth Proportional to 2,135.27, 3,202.95 and 654.52

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Solution

The fourth proportional to 2,135.27, 3,202.95 and 654.52 is: 981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.27 : 3,202.95 = 654.52 : x
  2. Step 2: Convert to fraction form
    2,135.27/3,202.95 = 654.52/x
  3. Step 3: Cross multiply
    2,135.27x = 3,202.95 × 654.52
  4. Step 4: Simplify right side
    2,135.27x = 2,096,385.19
  5. Step 5: Solve for x
    x = 2,096,385.19/2,135.27
  6. Step 6: Final answer
    x = 981.79

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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.