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Finding the Fourth Proportional to 2,829.99, 3,905.20 and 1,571.05

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Solution

The fourth proportional to 2,829.99, 3,905.20 and 1,571.05 is: 2,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.99 : 3,905.20 = 1,571.05 : x
  2. Step 2: Convert to fraction form
    2,829.99/3,905.20 = 1,571.05/x
  3. Step 3: Cross multiply
    2,829.99x = 3,905.20 × 1,571.05
  4. Step 4: Simplify right side
    2,829.99x = 6,135,253.76
  5. Step 5: Solve for x
    x = 6,135,253.76/2,829.99
  6. Step 6: Final answer
    x = 2,167.94

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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.