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Finding the Fourth Proportional to 2,409.09, 3,325.10 and 1,568.33

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Solution

The fourth proportional to 2,409.09, 3,325.10 and 1,568.33 is: 2,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.09 : 3,325.10 = 1,568.33 : x
  2. Step 2: Convert to fraction form
    2,409.09/3,325.10 = 1,568.33/x
  3. Step 3: Cross multiply
    2,409.09x = 3,325.10 × 1,568.33
  4. Step 4: Simplify right side
    2,409.09x = 5,214,844.91
  5. Step 5: Solve for x
    x = 5,214,844.91/2,409.09
  6. Step 6: Final answer
    x = 2,164.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.