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Finding the Fourth Proportional to 1,735.46, 2,393.43 and 1,294.41

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Solution

The fourth proportional to 1,735.46, 2,393.43 and 1,294.41 is: 1,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.46 : 2,393.43 = 1,294.41 : x
  2. Step 2: Convert to fraction form
    1,735.46/2,393.43 = 1,294.41/x
  3. Step 3: Cross multiply
    1,735.46x = 2,393.43 × 1,294.41
  4. Step 4: Simplify right side
    1,735.46x = 3,098,079.73
  5. Step 5: Solve for x
    x = 3,098,079.73/1,735.46
  6. Step 6: Final answer
    x = 1,785.17

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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.