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Finding the Fourth Proportional to 2,076.79, 3,112.49 and 842.76

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Solution

The fourth proportional to 2,076.79, 3,112.49 and 842.76 is: 1,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.79 : 3,112.49 = 842.76 : x
  2. Step 2: Convert to fraction form
    2,076.79/3,112.49 = 842.76/x
  3. Step 3: Cross multiply
    2,076.79x = 3,112.49 × 842.76
  4. Step 4: Simplify right side
    2,076.79x = 2,623,082.07
  5. Step 5: Solve for x
    x = 2,623,082.07/2,076.79
  6. Step 6: Final answer
    x = 1,263.05

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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.