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Finding the Fourth Proportional to 2,287.56, 3,431.34 and 556.19

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Solution

The fourth proportional to 2,287.56, 3,431.34 and 556.19 is: 834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.56 : 3,431.34 = 556.19 : x
  2. Step 2: Convert to fraction form
    2,287.56/3,431.34 = 556.19/x
  3. Step 3: Cross multiply
    2,287.56x = 3,431.34 × 556.19
  4. Step 4: Simplify right side
    2,287.56x = 1,908,476.99
  5. Step 5: Solve for x
    x = 1,908,476.99/2,287.56
  6. Step 6: Final answer
    x = 834.29

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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.