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Finding the Fourth Proportional to 2,065.71, 2,847.87 and 1,475.22

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Solution

The fourth proportional to 2,065.71, 2,847.87 and 1,475.22 is: 2,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.71 : 2,847.87 = 1,475.22 : x
  2. Step 2: Convert to fraction form
    2,065.71/2,847.87 = 1,475.22/x
  3. Step 3: Cross multiply
    2,065.71x = 2,847.87 × 1,475.22
  4. Step 4: Simplify right side
    2,065.71x = 4,201,234.78
  5. Step 5: Solve for x
    x = 4,201,234.78/2,065.71
  6. Step 6: Final answer
    x = 2,033.80

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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.