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Finding the Fourth Proportional to 2,571.64, 3,854.22 and 1,416.04

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Solution

The fourth proportional to 2,571.64, 3,854.22 and 1,416.04 is: 2,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.64 : 3,854.22 = 1,416.04 : x
  2. Step 2: Convert to fraction form
    2,571.64/3,854.22 = 1,416.04/x
  3. Step 3: Cross multiply
    2,571.64x = 3,854.22 × 1,416.04
  4. Step 4: Simplify right side
    2,571.64x = 5,457,729.69
  5. Step 5: Solve for x
    x = 5,457,729.69/2,571.64
  6. Step 6: Final answer
    x = 2,122.28

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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.