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Finding the Fourth Proportional to 1,401.98, 2,102.94 and 361.99

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Solution

The fourth proportional to 1,401.98, 2,102.94 and 361.99 is: 542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.98 : 2,102.94 = 361.99 : x
  2. Step 2: Convert to fraction form
    1,401.98/2,102.94 = 361.99/x
  3. Step 3: Cross multiply
    1,401.98x = 2,102.94 × 361.99
  4. Step 4: Simplify right side
    1,401.98x = 761,243.25
  5. Step 5: Solve for x
    x = 761,243.25/1,401.98
  6. Step 6: Final answer
    x = 542.98

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Why These Related Problems?

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