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Finding the Fourth Proportional to 1,941.14, 2,912.05 and 708.46

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Solution

The fourth proportional to 1,941.14, 2,912.05 and 708.46 is: 1,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.14 : 2,912.05 = 708.46 : x
  2. Step 2: Convert to fraction form
    1,941.14/2,912.05 = 708.46/x
  3. Step 3: Cross multiply
    1,941.14x = 2,912.05 × 708.46
  4. Step 4: Simplify right side
    1,941.14x = 2,063,056.38
  5. Step 5: Solve for x
    x = 2,063,056.38/1,941.14
  6. Step 6: Final answer
    x = 1,062.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.