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Finding the Fourth Proportional to 2,453.22, 3,680.16 and 893.02

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Solution

The fourth proportional to 2,453.22, 3,680.16 and 893.02 is: 1,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.22 : 3,680.16 = 893.02 : x
  2. Step 2: Convert to fraction form
    2,453.22/3,680.16 = 893.02/x
  3. Step 3: Cross multiply
    2,453.22x = 3,680.16 × 893.02
  4. Step 4: Simplify right side
    2,453.22x = 3,286,456.48
  5. Step 5: Solve for x
    x = 3,286,456.48/2,453.22
  6. Step 6: Final answer
    x = 1,339.65

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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.