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Finding the Fourth Proportional to 2,135.72, 3,204.78 and 981.56

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Solution

The fourth proportional to 2,135.72, 3,204.78 and 981.56 is: 1,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.72 : 3,204.78 = 981.56 : x
  2. Step 2: Convert to fraction form
    2,135.72/3,204.78 = 981.56/x
  3. Step 3: Cross multiply
    2,135.72x = 3,204.78 × 981.56
  4. Step 4: Simplify right side
    2,135.72x = 3,145,683.86
  5. Step 5: Solve for x
    x = 3,145,683.86/2,135.72
  6. Step 6: Final answer
    x = 1,472.89

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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.