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Finding the Fourth Proportional to 2,076.39, 3,114.72 and 981.81

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Solution

The fourth proportional to 2,076.39, 3,114.72 and 981.81 is: 1,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.39 : 3,114.72 = 981.81 : x
  2. Step 2: Convert to fraction form
    2,076.39/3,114.72 = 981.81/x
  3. Step 3: Cross multiply
    2,076.39x = 3,114.72 × 981.81
  4. Step 4: Simplify right side
    2,076.39x = 3,058,063.24
  5. Step 5: Solve for x
    x = 3,058,063.24/2,076.39
  6. Step 6: Final answer
    x = 1,472.78

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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.