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Finding the Fourth Proportional to 1,287.46, 1,928.49 and 1,093.33

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Solution

The fourth proportional to 1,287.46, 1,928.49 and 1,093.33 is: 1,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.46 : 1,928.49 = 1,093.33 : x
  2. Step 2: Convert to fraction form
    1,287.46/1,928.49 = 1,093.33/x
  3. Step 3: Cross multiply
    1,287.46x = 1,928.49 × 1,093.33
  4. Step 4: Simplify right side
    1,287.46x = 2,108,475.97
  5. Step 5: Solve for x
    x = 2,108,475.97/1,287.46
  6. Step 6: Final answer
    x = 1,637.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.