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Finding the Fourth Proportional to 1,592.99, 2,198.33 and 884.84

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Solution

The fourth proportional to 1,592.99, 2,198.33 and 884.84 is: 1,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.99 : 2,198.33 = 884.84 : x
  2. Step 2: Convert to fraction form
    1,592.99/2,198.33 = 884.84/x
  3. Step 3: Cross multiply
    1,592.99x = 2,198.33 × 884.84
  4. Step 4: Simplify right side
    1,592.99x = 1,945,165.89
  5. Step 5: Solve for x
    x = 1,945,165.89/1,592.99
  6. Step 6: Final answer
    x = 1,221.08

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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.