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Finding the Fourth Proportional to 2,404.36, 3,605.82 and 1,105

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Solution

The fourth proportional to 2,404.36, 3,605.82 and 1,105 is: 1,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.36 : 3,605.82 = 1,105 : x
  2. Step 2: Convert to fraction form
    2,404.36/3,605.82 = 1,105/x
  3. Step 3: Cross multiply
    2,404.36x = 3,605.82 × 1,105
  4. Step 4: Simplify right side
    2,404.36x = 3,984,431.10
  5. Step 5: Solve for x
    x = 3,984,431.10/2,404.36
  6. Step 6: Final answer
    x = 1,657.17

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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.