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Finding the Fourth Proportional to 2,044.84, 2,811 and 1,760.20

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Solution

The fourth proportional to 2,044.84, 2,811 and 1,760.20 is: 2,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.84 : 2,811 = 1,760.20 : x
  2. Step 2: Convert to fraction form
    2,044.84/2,811 = 1,760.20/x
  3. Step 3: Cross multiply
    2,044.84x = 2,811 × 1,760.20
  4. Step 4: Simplify right side
    2,044.84x = 4,947,922.20
  5. Step 5: Solve for x
    x = 4,947,922.20/2,044.84
  6. Step 6: Final answer
    x = 2,419.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.