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Finding the Fourth Proportional to 1,917.68, 2,873.61 and 942.57

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Solution

The fourth proportional to 1,917.68, 2,873.61 and 942.57 is: 1,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.68 : 2,873.61 = 942.57 : x
  2. Step 2: Convert to fraction form
    1,917.68/2,873.61 = 942.57/x
  3. Step 3: Cross multiply
    1,917.68x = 2,873.61 × 942.57
  4. Step 4: Simplify right side
    1,917.68x = 2,708,578.58
  5. Step 5: Solve for x
    x = 2,708,578.58/1,917.68
  6. Step 6: Final answer
    x = 1,412.43

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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.