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Finding the Fourth Proportional to 1,452.43, 2,003.74 and 892.72

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Solution

The fourth proportional to 1,452.43, 2,003.74 and 892.72 is: 1,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.43 : 2,003.74 = 892.72 : x
  2. Step 2: Convert to fraction form
    1,452.43/2,003.74 = 892.72/x
  3. Step 3: Cross multiply
    1,452.43x = 2,003.74 × 892.72
  4. Step 4: Simplify right side
    1,452.43x = 1,788,779.05
  5. Step 5: Solve for x
    x = 1,788,779.05/1,452.43
  6. Step 6: Final answer
    x = 1,231.58

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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.