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Finding the Fourth Proportional to 1,381.26, 1,906.19 and 783.76

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Solution

The fourth proportional to 1,381.26, 1,906.19 and 783.76 is: 1,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.26 : 1,906.19 = 783.76 : x
  2. Step 2: Convert to fraction form
    1,381.26/1,906.19 = 783.76/x
  3. Step 3: Cross multiply
    1,381.26x = 1,906.19 × 783.76
  4. Step 4: Simplify right side
    1,381.26x = 1,493,993.30
  5. Step 5: Solve for x
    x = 1,493,993.30/1,381.26
  6. Step 6: Final answer
    x = 1,081.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.