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Finding the Fourth Proportional to 2,065.56, 2,847.33 and 1,749.66

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Solution

The fourth proportional to 2,065.56, 2,847.33 and 1,749.66 is: 2,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.56 : 2,847.33 = 1,749.66 : x
  2. Step 2: Convert to fraction form
    2,065.56/2,847.33 = 1,749.66/x
  3. Step 3: Cross multiply
    2,065.56x = 2,847.33 × 1,749.66
  4. Step 4: Simplify right side
    2,065.56x = 4,981,859.41
  5. Step 5: Solve for x
    x = 4,981,859.41/2,065.56
  6. Step 6: Final answer
    x = 2,411.87

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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.