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Finding the Fourth Proportional to 2,153.86, 3,227.16 and 981.94

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Solution

The fourth proportional to 2,153.86, 3,227.16 and 981.94 is: 1,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.86 : 3,227.16 = 981.94 : x
  2. Step 2: Convert to fraction form
    2,153.86/3,227.16 = 981.94/x
  3. Step 3: Cross multiply
    2,153.86x = 3,227.16 × 981.94
  4. Step 4: Simplify right side
    2,153.86x = 3,168,877.49
  5. Step 5: Solve for x
    x = 3,168,877.49/2,153.86
  6. Step 6: Final answer
    x = 1,471.26

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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.