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Finding the Fourth Proportional to 1,452.41, 2,182.43 and 794.72

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Solution

The fourth proportional to 1,452.41, 2,182.43 and 794.72 is: 1,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.41 : 2,182.43 = 794.72 : x
  2. Step 2: Convert to fraction form
    1,452.41/2,182.43 = 794.72/x
  3. Step 3: Cross multiply
    1,452.41x = 2,182.43 × 794.72
  4. Step 4: Simplify right side
    1,452.41x = 1,734,405.88
  5. Step 5: Solve for x
    x = 1,734,405.88/1,452.41
  6. Step 6: Final answer
    x = 1,194.16

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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.