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Finding the Fourth Proportional to 1,715.00, 2,571.96 and 892.82

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Solution

The fourth proportional to 1,715.00, 2,571.96 and 892.82 is: 1,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.00 : 2,571.96 = 892.82 : x
  2. Step 2: Convert to fraction form
    1,715.00/2,571.96 = 892.82/x
  3. Step 3: Cross multiply
    1,715.00x = 2,571.96 × 892.82
  4. Step 4: Simplify right side
    1,715.00x = 2,296,303.76
  5. Step 5: Solve for x
    x = 2,296,303.76/1,715.00
  6. Step 6: Final answer
    x = 1,338.96

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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.