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Finding the Fourth Proportional to 2,761.89, 3,811 and 1,582.77

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Solution

The fourth proportional to 2,761.89, 3,811 and 1,582.77 is: 2,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.89 : 3,811 = 1,582.77 : x
  2. Step 2: Convert to fraction form
    2,761.89/3,811 = 1,582.77/x
  3. Step 3: Cross multiply
    2,761.89x = 3,811 × 1,582.77
  4. Step 4: Simplify right side
    2,761.89x = 6,031,936.47
  5. Step 5: Solve for x
    x = 6,031,936.47/2,761.89
  6. Step 6: Final answer
    x = 2,183.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.