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Finding the Fourth Proportional to 1,380.10, 2,065.29 and 941.41

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Solution

The fourth proportional to 1,380.10, 2,065.29 and 941.41 is: 1,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.10 : 2,065.29 = 941.41 : x
  2. Step 2: Convert to fraction form
    1,380.10/2,065.29 = 941.41/x
  3. Step 3: Cross multiply
    1,380.10x = 2,065.29 × 941.41
  4. Step 4: Simplify right side
    1,380.10x = 1,944,284.66
  5. Step 5: Solve for x
    x = 1,944,284.66/1,380.10
  6. Step 6: Final answer
    x = 1,408.80

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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.