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Finding the Fourth Proportional to 2,504.29, 3,737.93 and 2,208.81

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Solution

The fourth proportional to 2,504.29, 3,737.93 and 2,208.81 is: 3,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.29 : 3,737.93 = 2,208.81 : x
  2. Step 2: Convert to fraction form
    2,504.29/3,737.93 = 2,208.81/x
  3. Step 3: Cross multiply
    2,504.29x = 3,737.93 × 2,208.81
  4. Step 4: Simplify right side
    2,504.29x = 8,256,369.15
  5. Step 5: Solve for x
    x = 8,256,369.15/2,504.29
  6. Step 6: Final answer
    x = 3,296.90

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