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Finding the Fourth Proportional to 1,610.46, 2,222.13 and 1,528.44

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Solution

The fourth proportional to 1,610.46, 2,222.13 and 1,528.44 is: 2,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.46 : 2,222.13 = 1,528.44 : x
  2. Step 2: Convert to fraction form
    1,610.46/2,222.13 = 1,528.44/x
  3. Step 3: Cross multiply
    1,610.46x = 2,222.13 × 1,528.44
  4. Step 4: Simplify right side
    1,610.46x = 3,396,392.38
  5. Step 5: Solve for x
    x = 3,396,392.38/1,610.46
  6. Step 6: Final answer
    x = 2,108.96

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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.