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Finding the Fourth Proportional to 2,917.53, 4,375.71 and 1,161.99

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Solution

The fourth proportional to 2,917.53, 4,375.71 and 1,161.99 is: 1,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.53 : 4,375.71 = 1,161.99 : x
  2. Step 2: Convert to fraction form
    2,917.53/4,375.71 = 1,161.99/x
  3. Step 3: Cross multiply
    2,917.53x = 4,375.71 × 1,161.99
  4. Step 4: Simplify right side
    2,917.53x = 5,084,531.26
  5. Step 5: Solve for x
    x = 5,084,531.26/2,917.53
  6. Step 6: Final answer
    x = 1,742.75

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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.