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Finding the Fourth Proportional to 1,958.07, 2,935.46 and 917.52

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Solution

The fourth proportional to 1,958.07, 2,935.46 and 917.52 is: 1,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.07 : 2,935.46 = 917.52 : x
  2. Step 2: Convert to fraction form
    1,958.07/2,935.46 = 917.52/x
  3. Step 3: Cross multiply
    1,958.07x = 2,935.46 × 917.52
  4. Step 4: Simplify right side
    1,958.07x = 2,693,338.67
  5. Step 5: Solve for x
    x = 2,693,338.67/1,958.07
  6. Step 6: Final answer
    x = 1,375.51

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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.