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Finding the Fourth Proportional to 2,406.92, 3,610.98 and 1,109.30

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Solution

The fourth proportional to 2,406.92, 3,610.98 and 1,109.30 is: 1,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.92 : 3,610.98 = 1,109.30 : x
  2. Step 2: Convert to fraction form
    2,406.92/3,610.98 = 1,109.30/x
  3. Step 3: Cross multiply
    2,406.92x = 3,610.98 × 1,109.30
  4. Step 4: Simplify right side
    2,406.92x = 4,005,642.06
  5. Step 5: Solve for x
    x = 4,005,642.06/2,406.92
  6. Step 6: Final answer
    x = 1,664.22

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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.