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Finding the Fourth Proportional to 2,108.90, 3,164.09 and 939.74

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Solution

The fourth proportional to 2,108.90, 3,164.09 and 939.74 is: 1,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.90 : 3,164.09 = 939.74 : x
  2. Step 2: Convert to fraction form
    2,108.90/3,164.09 = 939.74/x
  3. Step 3: Cross multiply
    2,108.90x = 3,164.09 × 939.74
  4. Step 4: Simplify right side
    2,108.90x = 2,973,401.42
  5. Step 5: Solve for x
    x = 2,973,401.42/2,108.90
  6. Step 6: Final answer
    x = 1,409.93

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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.