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Finding the Fourth Proportional to 2,406.78, 3,606.93 and 1,105.38

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Solution

The fourth proportional to 2,406.78, 3,606.93 and 1,105.38 is: 1,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.78 : 3,606.93 = 1,105.38 : x
  2. Step 2: Convert to fraction form
    2,406.78/3,606.93 = 1,105.38/x
  3. Step 3: Cross multiply
    2,406.78x = 3,606.93 × 1,105.38
  4. Step 4: Simplify right side
    2,406.78x = 3,987,028.28
  5. Step 5: Solve for x
    x = 3,987,028.28/2,406.78
  6. Step 6: Final answer
    x = 1,656.58

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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.