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Finding the Fourth Proportional to 1,401.37, 1,933.93 and 842.09

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Solution

The fourth proportional to 1,401.37, 1,933.93 and 842.09 is: 1,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.37 : 1,933.93 = 842.09 : x
  2. Step 2: Convert to fraction form
    1,401.37/1,933.93 = 842.09/x
  3. Step 3: Cross multiply
    1,401.37x = 1,933.93 × 842.09
  4. Step 4: Simplify right side
    1,401.37x = 1,628,534.50
  5. Step 5: Solve for x
    x = 1,628,534.50/1,401.37
  6. Step 6: Final answer
    x = 1,162.10

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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.