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Finding the Fourth Proportional to 2,287.05, 3,156.14 and 1,239.12

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Solution

The fourth proportional to 2,287.05, 3,156.14 and 1,239.12 is: 1,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.05 : 3,156.14 = 1,239.12 : x
  2. Step 2: Convert to fraction form
    2,287.05/3,156.14 = 1,239.12/x
  3. Step 3: Cross multiply
    2,287.05x = 3,156.14 × 1,239.12
  4. Step 4: Simplify right side
    2,287.05x = 3,910,826.93
  5. Step 5: Solve for x
    x = 3,910,826.93/2,287.05
  6. Step 6: Final answer
    x = 1,709.98

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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.