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Finding the Fourth Proportional to 2,728.61, 3,737.29 and 2,569.04

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Solution

The fourth proportional to 2,728.61, 3,737.29 and 2,569.04 is: 3,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.61 : 3,737.29 = 2,569.04 : x
  2. Step 2: Convert to fraction form
    2,728.61/3,737.29 = 2,569.04/x
  3. Step 3: Cross multiply
    2,728.61x = 3,737.29 × 2,569.04
  4. Step 4: Simplify right side
    2,728.61x = 9,601,247.50
  5. Step 5: Solve for x
    x = 9,601,247.50/2,728.61
  6. Step 6: Final answer
    x = 3,518.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.