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Finding the Fourth Proportional to 2,406.63, 3,607.17 and 1,105.35

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Solution

The fourth proportional to 2,406.63, 3,607.17 and 1,105.35 is: 1,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.63 : 3,607.17 = 1,105.35 : x
  2. Step 2: Convert to fraction form
    2,406.63/3,607.17 = 1,105.35/x
  3. Step 3: Cross multiply
    2,406.63x = 3,607.17 × 1,105.35
  4. Step 4: Simplify right side
    2,406.63x = 3,987,185.36
  5. Step 5: Solve for x
    x = 3,987,185.36/2,406.63
  6. Step 6: Final answer
    x = 1,656.75

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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.