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Finding the Fourth Proportional to 1,610.46, 2,223.03 and 1,444.38

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Solution

The fourth proportional to 1,610.46, 2,223.03 and 1,444.38 is: 1,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.46 : 2,223.03 = 1,444.38 : x
  2. Step 2: Convert to fraction form
    1,610.46/2,223.03 = 1,444.38/x
  3. Step 3: Cross multiply
    1,610.46x = 2,223.03 × 1,444.38
  4. Step 4: Simplify right side
    1,610.46x = 3,210,900.07
  5. Step 5: Solve for x
    x = 3,210,900.07/1,610.46
  6. Step 6: Final answer
    x = 1,993.78

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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.