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Finding the Fourth Proportional to 2,168.70, 3,237.29 and 2,008.50

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Solution

The fourth proportional to 2,168.70, 3,237.29 and 2,008.50 is: 2,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.70 : 3,237.29 = 2,008.50 : x
  2. Step 2: Convert to fraction form
    2,168.70/3,237.29 = 2,008.50/x
  3. Step 3: Cross multiply
    2,168.70x = 3,237.29 × 2,008.50
  4. Step 4: Simplify right side
    2,168.70x = 6,502,086.92
  5. Step 5: Solve for x
    x = 6,502,086.92/2,168.70
  6. Step 6: Final answer
    x = 2,998.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.