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Finding the Fourth Proportional to 2,350.49, 3,244.19 and 2,114.01

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Solution

The fourth proportional to 2,350.49, 3,244.19 and 2,114.01 is: 2,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.49 : 3,244.19 = 2,114.01 : x
  2. Step 2: Convert to fraction form
    2,350.49/3,244.19 = 2,114.01/x
  3. Step 3: Cross multiply
    2,350.49x = 3,244.19 × 2,114.01
  4. Step 4: Simplify right side
    2,350.49x = 6,858,239.53
  5. Step 5: Solve for x
    x = 6,858,239.53/2,350.49
  6. Step 6: Final answer
    x = 2,917.80

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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.