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Finding the Fourth Proportional to 1,401.54, 1,934.72 and 998.03

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Solution

The fourth proportional to 1,401.54, 1,934.72 and 998.03 is: 1,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.54 : 1,934.72 = 998.03 : x
  2. Step 2: Convert to fraction form
    1,401.54/1,934.72 = 998.03/x
  3. Step 3: Cross multiply
    1,401.54x = 1,934.72 × 998.03
  4. Step 4: Simplify right side
    1,401.54x = 1,930,908.60
  5. Step 5: Solve for x
    x = 1,930,908.60/1,401.54
  6. Step 6: Final answer
    x = 1,377.70

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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.