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Finding the Fourth Proportional to 1,519.22, 2,096.53 and 820.60

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Solution

The fourth proportional to 1,519.22, 2,096.53 and 820.60 is: 1,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.22 : 2,096.53 = 820.60 : x
  2. Step 2: Convert to fraction form
    1,519.22/2,096.53 = 820.60/x
  3. Step 3: Cross multiply
    1,519.22x = 2,096.53 × 820.60
  4. Step 4: Simplify right side
    1,519.22x = 1,720,411.67
  5. Step 5: Solve for x
    x = 1,720,411.67/1,519.22
  6. Step 6: Final answer
    x = 1,132.43

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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.