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Finding the Fourth Proportional to 1,960.88, 2,942.46 and 865.35

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Solution

The fourth proportional to 1,960.88, 2,942.46 and 865.35 is: 1,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.88 : 2,942.46 = 865.35 : x
  2. Step 2: Convert to fraction form
    1,960.88/2,942.46 = 865.35/x
  3. Step 3: Cross multiply
    1,960.88x = 2,942.46 × 865.35
  4. Step 4: Simplify right side
    1,960.88x = 2,546,257.76
  5. Step 5: Solve for x
    x = 2,546,257.76/1,960.88
  6. Step 6: Final answer
    x = 1,298.53

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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.