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Finding the Fourth Proportional to 1,938.60, 2,908.67 and 706.09

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Solution

The fourth proportional to 1,938.60, 2,908.67 and 706.09 is: 1,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.60 : 2,908.67 = 706.09 : x
  2. Step 2: Convert to fraction form
    1,938.60/2,908.67 = 706.09/x
  3. Step 3: Cross multiply
    1,938.60x = 2,908.67 × 706.09
  4. Step 4: Simplify right side
    1,938.60x = 2,053,782.80
  5. Step 5: Solve for x
    x = 2,053,782.80/1,938.60
  6. Step 6: Final answer
    x = 1,059.42

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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.