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Finding the Fourth Proportional to 1,891.33, 2,837.03 and 917.19

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Solution

The fourth proportional to 1,891.33, 2,837.03 and 917.19 is: 1,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.33 : 2,837.03 = 917.19 : x
  2. Step 2: Convert to fraction form
    1,891.33/2,837.03 = 917.19/x
  3. Step 3: Cross multiply
    1,891.33x = 2,837.03 × 917.19
  4. Step 4: Simplify right side
    1,891.33x = 2,602,090.96
  5. Step 5: Solve for x
    x = 2,602,090.96/1,891.33
  6. Step 6: Final answer
    x = 1,375.80

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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.