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Finding the Fourth Proportional to 2,287.60, 3,431.36 and 556.22

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Solution

The fourth proportional to 2,287.60, 3,431.36 and 556.22 is: 834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.60 : 3,431.36 = 556.22 : x
  2. Step 2: Convert to fraction form
    2,287.60/3,431.36 = 556.22/x
  3. Step 3: Cross multiply
    2,287.60x = 3,431.36 × 556.22
  4. Step 4: Simplify right side
    2,287.60x = 1,908,591.06
  5. Step 5: Solve for x
    x = 1,908,591.06/2,287.60
  6. Step 6: Final answer
    x = 834.32

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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.