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Finding the Fourth Proportional to 1,766.18, 2,644.22 and 1,401.50

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Solution

The fourth proportional to 1,766.18, 2,644.22 and 1,401.50 is: 2,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.18 : 2,644.22 = 1,401.50 : x
  2. Step 2: Convert to fraction form
    1,766.18/2,644.22 = 1,401.50/x
  3. Step 3: Cross multiply
    1,766.18x = 2,644.22 × 1,401.50
  4. Step 4: Simplify right side
    1,766.18x = 3,705,874.33
  5. Step 5: Solve for x
    x = 3,705,874.33/1,766.18
  6. Step 6: Final answer
    x = 2,098.24

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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.