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Finding the Fourth Proportional to 1,401.80, 2,098.65 and 1,239.80

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Solution

The fourth proportional to 1,401.80, 2,098.65 and 1,239.80 is: 1,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.80 : 2,098.65 = 1,239.80 : x
  2. Step 2: Convert to fraction form
    1,401.80/2,098.65 = 1,239.80/x
  3. Step 3: Cross multiply
    1,401.80x = 2,098.65 × 1,239.80
  4. Step 4: Simplify right side
    1,401.80x = 2,601,906.27
  5. Step 5: Solve for x
    x = 2,601,906.27/1,401.80
  6. Step 6: Final answer
    x = 1,856.12

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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.