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Finding the Fourth Proportional to 2,453.48, 3,679.92 and 893.42

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Solution

The fourth proportional to 2,453.48, 3,679.92 and 893.42 is: 1,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.48 : 3,679.92 = 893.42 : x
  2. Step 2: Convert to fraction form
    2,453.48/3,679.92 = 893.42/x
  3. Step 3: Cross multiply
    2,453.48x = 3,679.92 × 893.42
  4. Step 4: Simplify right side
    2,453.48x = 3,287,714.13
  5. Step 5: Solve for x
    x = 3,287,714.13/2,453.48
  6. Step 6: Final answer
    x = 1,340.02

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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.