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Finding the Fourth Proportional to 2,354.62, 3,249.97 and 1,360.48

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Solution

The fourth proportional to 2,354.62, 3,249.97 and 1,360.48 is: 1,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.62 : 3,249.97 = 1,360.48 : x
  2. Step 2: Convert to fraction form
    2,354.62/3,249.97 = 1,360.48/x
  3. Step 3: Cross multiply
    2,354.62x = 3,249.97 × 1,360.48
  4. Step 4: Simplify right side
    2,354.62x = 4,421,496.13
  5. Step 5: Solve for x
    x = 4,421,496.13/2,354.62
  6. Step 6: Final answer
    x = 1,877.80

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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.