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Finding the Fourth Proportional to 1,381.16, 1,900.34 and 1,194.05

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Solution

The fourth proportional to 1,381.16, 1,900.34 and 1,194.05 is: 1,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.16 : 1,900.34 = 1,194.05 : x
  2. Step 2: Convert to fraction form
    1,381.16/1,900.34 = 1,194.05/x
  3. Step 3: Cross multiply
    1,381.16x = 1,900.34 × 1,194.05
  4. Step 4: Simplify right side
    1,381.16x = 2,269,100.98
  5. Step 5: Solve for x
    x = 2,269,100.98/1,381.16
  6. Step 6: Final answer
    x = 1,642.90

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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.