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Finding the Fourth Proportional to 1,401.89, 2,102.81 and 669.24

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Solution

The fourth proportional to 1,401.89, 2,102.81 and 669.24 is: 1,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.89 : 2,102.81 = 669.24 : x
  2. Step 2: Convert to fraction form
    1,401.89/2,102.81 = 669.24/x
  3. Step 3: Cross multiply
    1,401.89x = 2,102.81 × 669.24
  4. Step 4: Simplify right side
    1,401.89x = 1,407,281.22
  5. Step 5: Solve for x
    x = 1,407,281.22/1,401.89
  6. Step 6: Final answer
    x = 1,003.85

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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.