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Finding the Fourth Proportional to 1,520.35, 2,098.15 and 857.27

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Solution

The fourth proportional to 1,520.35, 2,098.15 and 857.27 is: 1,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.35 : 2,098.15 = 857.27 : x
  2. Step 2: Convert to fraction form
    1,520.35/2,098.15 = 857.27/x
  3. Step 3: Cross multiply
    1,520.35x = 2,098.15 × 857.27
  4. Step 4: Simplify right side
    1,520.35x = 1,798,681.05
  5. Step 5: Solve for x
    x = 1,798,681.05/1,520.35
  6. Step 6: Final answer
    x = 1,183.07

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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.