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Finding the Fourth Proportional to 2,406.45, 3,610.05 and 1,019.79

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Solution

The fourth proportional to 2,406.45, 3,610.05 and 1,019.79 is: 1,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.45 : 3,610.05 = 1,019.79 : x
  2. Step 2: Convert to fraction form
    2,406.45/3,610.05 = 1,019.79/x
  3. Step 3: Cross multiply
    2,406.45x = 3,610.05 × 1,019.79
  4. Step 4: Simplify right side
    2,406.45x = 3,681,469.74
  5. Step 5: Solve for x
    x = 3,681,469.74/2,406.45
  6. Step 6: Final answer
    x = 1,529.84

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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.