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Finding the Fourth Proportional to 2,813.12, 3,881.84 and 1,571.04

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Solution

The fourth proportional to 2,813.12, 3,881.84 and 1,571.04 is: 2,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.12 : 3,881.84 = 1,571.04 : x
  2. Step 2: Convert to fraction form
    2,813.12/3,881.84 = 1,571.04/x
  3. Step 3: Cross multiply
    2,813.12x = 3,881.84 × 1,571.04
  4. Step 4: Simplify right side
    2,813.12x = 6,098,525.91
  5. Step 5: Solve for x
    x = 6,098,525.91/2,813.12
  6. Step 6: Final answer
    x = 2,167.89

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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.