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Finding the Fourth Proportional to 2,109.96, 3,160.20 and 1,015.08

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Solution

The fourth proportional to 2,109.96, 3,160.20 and 1,015.08 is: 1,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.96 : 3,160.20 = 1,015.08 : x
  2. Step 2: Convert to fraction form
    2,109.96/3,160.20 = 1,015.08/x
  3. Step 3: Cross multiply
    2,109.96x = 3,160.20 × 1,015.08
  4. Step 4: Simplify right side
    2,109.96x = 3,207,855.82
  5. Step 5: Solve for x
    x = 3,207,855.82/2,109.96
  6. Step 6: Final answer
    x = 1,520.34

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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.