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Finding the Fourth Proportional to 2,287.64, 3,158 and 2,205.56

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Solution

The fourth proportional to 2,287.64, 3,158 and 2,205.56 is: 3,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.64 : 3,158 = 2,205.56 : x
  2. Step 2: Convert to fraction form
    2,287.64/3,158 = 2,205.56/x
  3. Step 3: Cross multiply
    2,287.64x = 3,158 × 2,205.56
  4. Step 4: Simplify right side
    2,287.64x = 6,965,158.48
  5. Step 5: Solve for x
    x = 6,965,158.48/2,287.64
  6. Step 6: Final answer
    x = 3,044.69

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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.