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Finding the Fourth Proportional to 1,381.17, 1,906.14 and 783.86

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Solution

The fourth proportional to 1,381.17, 1,906.14 and 783.86 is: 1,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.17 : 1,906.14 = 783.86 : x
  2. Step 2: Convert to fraction form
    1,381.17/1,906.14 = 783.86/x
  3. Step 3: Cross multiply
    1,381.17x = 1,906.14 × 783.86
  4. Step 4: Simplify right side
    1,381.17x = 1,494,145.99
  5. Step 5: Solve for x
    x = 1,494,145.99/1,381.17
  6. Step 6: Final answer
    x = 1,081.80

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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.