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Finding the Fourth Proportional to 1,401.39, 2,099.35 and 852.21

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Solution

The fourth proportional to 1,401.39, 2,099.35 and 852.21 is: 1,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.39 : 2,099.35 = 852.21 : x
  2. Step 2: Convert to fraction form
    1,401.39/2,099.35 = 852.21/x
  3. Step 3: Cross multiply
    1,401.39x = 2,099.35 × 852.21
  4. Step 4: Simplify right side
    1,401.39x = 1,789,082.80
  5. Step 5: Solve for x
    x = 1,789,082.80/1,401.39
  6. Step 6: Final answer
    x = 1,276.65

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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.