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Finding the Fourth Proportional to 1,401.84, 1,934.34 and 842.33

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Solution

The fourth proportional to 1,401.84, 1,934.34 and 842.33 is: 1,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.84 : 1,934.34 = 842.33 : x
  2. Step 2: Convert to fraction form
    1,401.84/1,934.34 = 842.33/x
  3. Step 3: Cross multiply
    1,401.84x = 1,934.34 × 842.33
  4. Step 4: Simplify right side
    1,401.84x = 1,629,342.94
  5. Step 5: Solve for x
    x = 1,629,342.94/1,401.84
  6. Step 6: Final answer
    x = 1,162.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.