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Finding the Fourth Proportional to 2,485.85, 3,728.20 and 730.38

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Solution

The fourth proportional to 2,485.85, 3,728.20 and 730.38 is: 1,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.85 : 3,728.20 = 730.38 : x
  2. Step 2: Convert to fraction form
    2,485.85/3,728.20 = 730.38/x
  3. Step 3: Cross multiply
    2,485.85x = 3,728.20 × 730.38
  4. Step 4: Simplify right side
    2,485.85x = 2,723,002.72
  5. Step 5: Solve for x
    x = 2,723,002.72/2,485.85
  6. Step 6: Final answer
    x = 1,095.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.