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Finding the Fourth Proportional to 1,882.47, 2,597.22 and 1,096.37

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Solution

The fourth proportional to 1,882.47, 2,597.22 and 1,096.37 is: 1,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.47 : 2,597.22 = 1,096.37 : x
  2. Step 2: Convert to fraction form
    1,882.47/2,597.22 = 1,096.37/x
  3. Step 3: Cross multiply
    1,882.47x = 2,597.22 × 1,096.37
  4. Step 4: Simplify right side
    1,882.47x = 2,847,514.09
  5. Step 5: Solve for x
    x = 2,847,514.09/1,882.47
  6. Step 6: Final answer
    x = 1,512.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.