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Finding the Fourth Proportional to 2,406.64, 3,323 and 1,524.56

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Solution

The fourth proportional to 2,406.64, 3,323 and 1,524.56 is: 2,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.64 : 3,323 = 1,524.56 : x
  2. Step 2: Convert to fraction form
    2,406.64/3,323 = 1,524.56/x
  3. Step 3: Cross multiply
    2,406.64x = 3,323 × 1,524.56
  4. Step 4: Simplify right side
    2,406.64x = 5,066,112.88
  5. Step 5: Solve for x
    x = 5,066,112.88/2,406.64
  6. Step 6: Final answer
    x = 2,105.06

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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.