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Finding the Fourth Proportional to 2,170.50, 2,988 and 1,949.37

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Solution

The fourth proportional to 2,170.50, 2,988 and 1,949.37 is: 2,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.50 : 2,988 = 1,949.37 : x
  2. Step 2: Convert to fraction form
    2,170.50/2,988 = 1,949.37/x
  3. Step 3: Cross multiply
    2,170.50x = 2,988 × 1,949.37
  4. Step 4: Simplify right side
    2,170.50x = 5,824,717.56
  5. Step 5: Solve for x
    x = 5,824,717.56/2,170.50
  6. Step 6: Final answer
    x = 2,683.58

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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.