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Finding the Fourth Proportional to 1,942.60, 2,913.06 and 709.60

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Solution

The fourth proportional to 1,942.60, 2,913.06 and 709.60 is: 1,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.60 : 2,913.06 = 709.60 : x
  2. Step 2: Convert to fraction form
    1,942.60/2,913.06 = 709.60/x
  3. Step 3: Cross multiply
    1,942.60x = 2,913.06 × 709.60
  4. Step 4: Simplify right side
    1,942.60x = 2,067,107.38
  5. Step 5: Solve for x
    x = 2,067,107.38/1,942.60
  6. Step 6: Final answer
    x = 1,064.09

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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.