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Finding the Fourth Proportional to 2,406.06, 3,609.60 and 846.30

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Solution

The fourth proportional to 2,406.06, 3,609.60 and 846.30 is: 1,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.06 : 3,609.60 = 846.30 : x
  2. Step 2: Convert to fraction form
    2,406.06/3,609.60 = 846.30/x
  3. Step 3: Cross multiply
    2,406.06x = 3,609.60 × 846.30
  4. Step 4: Simplify right side
    2,406.06x = 3,054,804.48
  5. Step 5: Solve for x
    x = 3,054,804.48/2,406.06
  6. Step 6: Final answer
    x = 1,269.63

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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.