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Finding the Fourth Proportional to 1,401.40, 2,103.92 and 990.73

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Solution

The fourth proportional to 1,401.40, 2,103.92 and 990.73 is: 1,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.40 : 2,103.92 = 990.73 : x
  2. Step 2: Convert to fraction form
    1,401.40/2,103.92 = 990.73/x
  3. Step 3: Cross multiply
    1,401.40x = 2,103.92 × 990.73
  4. Step 4: Simplify right side
    1,401.40x = 2,084,416.66
  5. Step 5: Solve for x
    x = 2,084,416.66/1,401.40
  6. Step 6: Final answer
    x = 1,487.38

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