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Finding the Fourth Proportional to 1,401, 1,933.54 and 849

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Solution

The fourth proportional to 1,401, 1,933.54 and 849 is: 1,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401 : 1,933.54 = 849 : x
  2. Step 2: Convert to fraction form
    1,401/1,933.54 = 849/x
  3. Step 3: Cross multiply
    1,401x = 1,933.54 × 849
  4. Step 4: Simplify right side
    1,401x = 1,641,575.46
  5. Step 5: Solve for x
    x = 1,641,575.46/1,401
  6. Step 6: Final answer
    x = 1,171.72

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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.