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Finding the Fourth Proportional to 1,401.90, 2,102.97 and 362.04

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Solution

The fourth proportional to 1,401.90, 2,102.97 and 362.04 is: 543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.90 : 2,102.97 = 362.04 : x
  2. Step 2: Convert to fraction form
    1,401.90/2,102.97 = 362.04/x
  3. Step 3: Cross multiply
    1,401.90x = 2,102.97 × 362.04
  4. Step 4: Simplify right side
    1,401.90x = 761,359.26
  5. Step 5: Solve for x
    x = 761,359.26/1,401.90
  6. Step 6: Final answer
    x = 543.09

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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.