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Finding the Fourth Proportional to 1,520.30, 2,098.11 and 857.21

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Solution

The fourth proportional to 1,520.30, 2,098.11 and 857.21 is: 1,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.30 : 2,098.11 = 857.21 : x
  2. Step 2: Convert to fraction form
    1,520.30/2,098.11 = 857.21/x
  3. Step 3: Cross multiply
    1,520.30x = 2,098.11 × 857.21
  4. Step 4: Simplify right side
    1,520.30x = 1,798,520.87
  5. Step 5: Solve for x
    x = 1,798,520.87/1,520.30
  6. Step 6: Final answer
    x = 1,183.00

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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.