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Finding the Fourth Proportional to 2,453.48, 3,677.96 and 893.11

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Solution

The fourth proportional to 2,453.48, 3,677.96 and 893.11 is: 1,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.48 : 3,677.96 = 893.11 : x
  2. Step 2: Convert to fraction form
    2,453.48/3,677.96 = 893.11/x
  3. Step 3: Cross multiply
    2,453.48x = 3,677.96 × 893.11
  4. Step 4: Simplify right side
    2,453.48x = 3,284,822.86
  5. Step 5: Solve for x
    x = 3,284,822.86/2,453.48
  6. Step 6: Final answer
    x = 1,338.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.