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Finding the Fourth Proportional to 2,406.16, 3,609.32 and 1,019.56

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Solution

The fourth proportional to 2,406.16, 3,609.32 and 1,019.56 is: 1,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.16 : 3,609.32 = 1,019.56 : x
  2. Step 2: Convert to fraction form
    2,406.16/3,609.32 = 1,019.56/x
  3. Step 3: Cross multiply
    2,406.16x = 3,609.32 × 1,019.56
  4. Step 4: Simplify right side
    2,406.16x = 3,679,918.30
  5. Step 5: Solve for x
    x = 3,679,918.30/2,406.16
  6. Step 6: Final answer
    x = 1,529.37

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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.